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Simplifying 7[2 + -1(3 + 4x)] + 10x = 2(10 + -3x) + 8x 7[2 + (3 * -1 + 4x * -1)] + 10x = 2(10 + -3x) + 8x 7[2 + (-3 + -4x)] + 10x = 2(10 + -3x) + 8x Combine like terms: 2 + -3 = -1 7[-1 + -4x] + 10x = 2(10 + -3x) + 8x [-1 * 7 + -4x * 7] + 10x = 2(10 + -3x) + 8x [-7 + -28x] + 10x = 2(10 + -3x) + 8x Combine like terms: -28x + 10x = -18x -7 + -18x = 2(10 + -3x) + 8x -7 + -18x = (10 * 2 + -3x * 2) + 8x -7 + -18x = (20 + -6x) + 8x Combine like terms: -6x + 8x = 2x -7 + -18x = 20 + 2x Solving -7 + -18x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -18x + -2x = 20 + 2x + -2x Combine like terms: -18x + -2x = -20x -7 + -20x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -20x = 20 + 0 -7 + -20x = 20 Add '7' to each side of the equation. -7 + 7 + -20x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + -20x = 20 + 7 -20x = 20 + 7 Combine like terms: 20 + 7 = 27 -20x = 27 Divide each side by '-20'. x = -1.35 Simplifying x = -1.35
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