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Simplifying 3(x + -5) + -4(2x + -6) = 6(x + 4) Reorder the terms: 3(-5 + x) + -4(2x + -6) = 6(x + 4) (-5 * 3 + x * 3) + -4(2x + -6) = 6(x + 4) (-15 + 3x) + -4(2x + -6) = 6(x + 4) Reorder the terms: -15 + 3x + -4(-6 + 2x) = 6(x + 4) -15 + 3x + (-6 * -4 + 2x * -4) = 6(x + 4) -15 + 3x + (24 + -8x) = 6(x + 4) Reorder the terms: -15 + 24 + 3x + -8x = 6(x + 4) Combine like terms: -15 + 24 = 9 9 + 3x + -8x = 6(x + 4) Combine like terms: 3x + -8x = -5x 9 + -5x = 6(x + 4) Reorder the terms: 9 + -5x = 6(4 + x) 9 + -5x = (4 * 6 + x * 6) 9 + -5x = (24 + 6x) Solving 9 + -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. 9 + -5x + -6x = 24 + 6x + -6x Combine like terms: -5x + -6x = -11x 9 + -11x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -11x = 24 + 0 9 + -11x = 24 Add '-9' to each side of the equation. 9 + -9 + -11x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = 24 + -9 -11x = 24 + -9 Combine like terms: 24 + -9 = 15 -11x = 15 Divide each side by '-11'. x = -1.363636364 Simplifying x = -1.363636364
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