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Simplifying 5x + -1(2x + -13) = 10 + (8x + -12) Reorder the terms: 5x + -1(-13 + 2x) = 10 + (8x + -12) 5x + (-13 * -1 + 2x * -1) = 10 + (8x + -12) 5x + (13 + -2x) = 10 + (8x + -12) Reorder the terms: 13 + 5x + -2x = 10 + (8x + -12) Combine like terms: 5x + -2x = 3x 13 + 3x = 10 + (8x + -12) Reorder the terms: 13 + 3x = 10 + (-12 + 8x) Remove parenthesis around (-12 + 8x) 13 + 3x = 10 + -12 + 8x Combine like terms: 10 + -12 = -2 13 + 3x = -2 + 8x Solving 13 + 3x = -2 + 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. 13 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x 13 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -5x = -2 + 0 13 + -5x = -2 Add '-13' to each side of the equation. 13 + -13 + -5x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -2 + -13 -5x = -2 + -13 Combine like terms: -2 + -13 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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