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Simplifying -5(x + -2) + 3 = 6(x + -4) Reorder the terms: -5(-2 + x) + 3 = 6(x + -4) (-2 * -5 + x * -5) + 3 = 6(x + -4) (10 + -5x) + 3 = 6(x + -4) Reorder the terms: 10 + 3 + -5x = 6(x + -4) Combine like terms: 10 + 3 = 13 13 + -5x = 6(x + -4) Reorder the terms: 13 + -5x = 6(-4 + x) 13 + -5x = (-4 * 6 + x * 6) 13 + -5x = (-24 + 6x) Solving 13 + -5x = -24 + 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 + -5x + -6x = -24 + 6x + -6x Combine like terms: -5x + -6x = -11x 13 + -11x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -11x = -24 + 0 13 + -11x = -24 Add '-13' to each side of the equation. 13 + -13 + -11x = -24 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = -24 + -13 -11x = -24 + -13 Combine like terms: -24 + -13 = -37 -11x = -37 Divide each side by '-11'. x = 3.363636364 Simplifying x = 3.363636364
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