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Simplifying -1(3 + -1x) + 13 = -4(8 + -2x) (3 * -1 + -1x * -1) + 13 = -4(8 + -2x) (-3 + 1x) + 13 = -4(8 + -2x) Reorder the terms: -3 + 13 + 1x = -4(8 + -2x) Combine like terms: -3 + 13 = 10 10 + 1x = -4(8 + -2x) 10 + 1x = (8 * -4 + -2x * -4) 10 + 1x = (-32 + 8x) Solving 10 + 1x = -32 + 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. 10 + 1x + -8x = -32 + 8x + -8x Combine like terms: 1x + -8x = -7x 10 + -7x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -7x = -32 + 0 10 + -7x = -32 Add '-10' to each side of the equation. 10 + -10 + -7x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -32 + -10 -7x = -32 + -10 Combine like terms: -32 + -10 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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