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Simplifying 2[x + -5] = 5[x + -3] + 8 Reorder the terms: 2[-5 + x] = 5[x + -3] + 8 [-5 * 2 + x * 2] = 5[x + -3] + 8 [-10 + 2x] = 5[x + -3] + 8 Reorder the terms: -10 + 2x = 5[-3 + x] + 8 -10 + 2x = [-3 * 5 + x * 5] + 8 -10 + 2x = [-15 + 5x] + 8 Reorder the terms: -10 + 2x = -15 + 8 + 5x Combine like terms: -15 + 8 = -7 -10 + 2x = -7 + 5x Solving -10 + 2x = -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. -10 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = -7 + 0 -10 + -3x = -7 Add '10' to each side of the equation. -10 + 10 + -3x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -7 + 10 -3x = -7 + 10 Combine like terms: -7 + 10 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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