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Simplifying 10 + -3(x + -1) = -1x + -1(5x + 8) Reorder the terms: 10 + -3(-1 + x) = -1x + -1(5x + 8) 10 + (-1 * -3 + x * -3) = -1x + -1(5x + 8) 10 + (3 + -3x) = -1x + -1(5x + 8) Combine like terms: 10 + 3 = 13 13 + -3x = -1x + -1(5x + 8) Reorder the terms: 13 + -3x = -1x + -1(8 + 5x) 13 + -3x = -1x + (8 * -1 + 5x * -1) 13 + -3x = -1x + (-8 + -5x) Reorder the terms: 13 + -3x = -8 + -1x + -5x Combine like terms: -1x + -5x = -6x 13 + -3x = -8 + -6x Solving 13 + -3x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 13 + -3x + 6x = -8 + -6x + 6x Combine like terms: -3x + 6x = 3x 13 + 3x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 3x = -8 + 0 13 + 3x = -8 Add '-13' to each side of the equation. 13 + -13 + 3x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = -8 + -13 3x = -8 + -13 Combine like terms: -8 + -13 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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