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Simplifying 5[x + -13] = 10x + -1[2x + 5] Reorder the terms: 5[-13 + x] = 10x + -1[2x + 5] [-13 * 5 + x * 5] = 10x + -1[2x + 5] [-65 + 5x] = 10x + -1[2x + 5] Reorder the terms: -65 + 5x = 10x + -1[5 + 2x] -65 + 5x = 10x + [5 * -1 + 2x * -1] -65 + 5x = 10x + [-5 + -2x] Reorder the terms: -65 + 5x = -5 + 10x + -2x Combine like terms: 10x + -2x = 8x -65 + 5x = -5 + 8x Solving -65 + 5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -65 + 5x + -8x = -5 + 8x + -8x Combine like terms: 5x + -8x = -3x -65 + -3x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -65 + -3x = -5 + 0 -65 + -3x = -5 Add '65' to each side of the equation. -65 + 65 + -3x = -5 + 65 Combine like terms: -65 + 65 = 0 0 + -3x = -5 + 65 -3x = -5 + 65 Combine like terms: -5 + 65 = 60 -3x = 60 Divide each side by '-3'. x = -20 Simplifying x = -20
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