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Simplifying -2x + 13 = 3(x + -6) Reorder the terms: 13 + -2x = 3(x + -6) Reorder the terms: 13 + -2x = 3(-6 + x) 13 + -2x = (-6 * 3 + x * 3) 13 + -2x = (-18 + 3x) Solving 13 + -2x = -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 + -2x + -3x = -18 + 3x + -3x Combine like terms: -2x + -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 = -31 -5x = -31 Divide each side by '-5'. x = 6.2 Simplifying x = 6.2
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