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Simplifying -5(2x + -3) = 4(x + 6) Reorder the terms: -5(-3 + 2x) = 4(x + 6) (-3 * -5 + 2x * -5) = 4(x + 6) (15 + -10x) = 4(x + 6) Reorder the terms: 15 + -10x = 4(6 + x) 15 + -10x = (6 * 4 + x * 4) 15 + -10x = (24 + 4x) Solving 15 + -10x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -10x + -4x = 24 + 4x + -4x Combine like terms: -10x + -4x = -14x 15 + -14x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -14x = 24 + 0 15 + -14x = 24 Add '-15' to each side of the equation. 15 + -15 + -14x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 24 + -15 -14x = 24 + -15 Combine like terms: 24 + -15 = 9 -14x = 9 Divide each side by '-14'. x = -0.6428571429 Simplifying x = -0.6428571429
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