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Simplifying 2(3x + -5) + 2x + -1 = -3(x + -2) + 8x + 1 Reorder the terms: 2(-5 + 3x) + 2x + -1 = -3(x + -2) + 8x + 1 (-5 * 2 + 3x * 2) + 2x + -1 = -3(x + -2) + 8x + 1 (-10 + 6x) + 2x + -1 = -3(x + -2) + 8x + 1 Reorder the terms: -10 + -1 + 6x + 2x = -3(x + -2) + 8x + 1 Combine like terms: -10 + -1 = -11 -11 + 6x + 2x = -3(x + -2) + 8x + 1 Combine like terms: 6x + 2x = 8x -11 + 8x = -3(x + -2) + 8x + 1 Reorder the terms: -11 + 8x = -3(-2 + x) + 8x + 1 -11 + 8x = (-2 * -3 + x * -3) + 8x + 1 -11 + 8x = (6 + -3x) + 8x + 1 Reorder the terms: -11 + 8x = 6 + 1 + -3x + 8x Combine like terms: 6 + 1 = 7 -11 + 8x = 7 + -3x + 8x Combine like terms: -3x + 8x = 5x -11 + 8x = 7 + 5x Solving -11 + 8x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 8x + -5x = 7 + 5x + -5x Combine like terms: 8x + -5x = 3x -11 + 3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 3x = 7 + 0 -11 + 3x = 7 Add '11' to each side of the equation. -11 + 11 + 3x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 7 + 11 3x = 7 + 11 Combine like terms: 7 + 11 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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