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Simplifying -8x + 13 = -3(x + -6) Reorder the terms: 13 + -8x = -3(x + -6) Reorder the terms: 13 + -8x = -3(-6 + x) 13 + -8x = (-6 * -3 + x * -3) 13 + -8x = (18 + -3x) Solving 13 + -8x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + -8x + 3x = 18 + -3x + 3x Combine like terms: -8x + 3x = -5x 13 + -5x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + -5x = 18 + 0 13 + -5x = 18 Add '-13' to each side of the equation. 13 + -13 + -5x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 18 + -13 -5x = 18 + -13 Combine like terms: 18 + -13 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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