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Simplifying 2(5x + -3 + 9x) + -1 + -16x = 10x + -1[2(x + -2) + -7(2x + -3)] Reorder the terms: 2(-3 + 5x + 9x) + -1 + -16x = 10x + -1[2(x + -2) + -7(2x + -3)] Combine like terms: 5x + 9x = 14x 2(-3 + 14x) + -1 + -16x = 10x + -1[2(x + -2) + -7(2x + -3)] (-3 * 2 + 14x * 2) + -1 + -16x = 10x + -1[2(x + -2) + -7(2x + -3)] (-6 + 28x) + -1 + -16x = 10x + -1[2(x + -2) + -7(2x + -3)] Reorder the terms: -6 + -1 + 28x + -16x = 10x + -1[2(x + -2) + -7(2x + -3)] Combine like terms: -6 + -1 = -7 -7 + 28x + -16x = 10x + -1[2(x + -2) + -7(2x + -3)] Combine like terms: 28x + -16x = 12x -7 + 12x = 10x + -1[2(x + -2) + -7(2x + -3)] Reorder the terms: -7 + 12x = 10x + -1[2(-2 + x) + -7(2x + -3)] -7 + 12x = 10x + -1[(-2 * 2 + x * 2) + -7(2x + -3)] -7 + 12x = 10x + -1[(-4 + 2x) + -7(2x + -3)] Reorder the terms: -7 + 12x = 10x + -1[-4 + 2x + -7(-3 + 2x)] -7 + 12x = 10x + -1[-4 + 2x + (-3 * -7 + 2x * -7)] -7 + 12x = 10x + -1[-4 + 2x + (21 + -14x)] Reorder the terms: -7 + 12x = 10x + -1[-4 + 21 + 2x + -14x] Combine like terms: -4 + 21 = 17 -7 + 12x = 10x + -1[17 + 2x + -14x] Combine like terms: 2x + -14x = -12x -7 + 12x = 10x + -1[17 + -12x] -7 + 12x = 10x + [17 * -1 + -12x * -1] -7 + 12x = 10x + [-17 + 12x] Reorder the terms: -7 + 12x = -17 + 10x + 12x Combine like terms: 10x + 12x = 22x -7 + 12x = -17 + 22x Solving -7 + 12x = -17 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -7 + 12x + -22x = -17 + 22x + -22x Combine like terms: 12x + -22x = -10x -7 + -10x = -17 + 22x + -22x Combine like terms: 22x + -22x = 0 -7 + -10x = -17 + 0 -7 + -10x = -17 Add '7' to each side of the equation. -7 + 7 + -10x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = -17 + 7 -10x = -17 + 7 Combine like terms: -17 + 7 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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