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Simplifying 5(2x + 3) + -4x = -4(x + -6) Reorder the terms: 5(3 + 2x) + -4x = -4(x + -6) (3 * 5 + 2x * 5) + -4x = -4(x + -6) (15 + 10x) + -4x = -4(x + -6) Combine like terms: 10x + -4x = 6x 15 + 6x = -4(x + -6) Reorder the terms: 15 + 6x = -4(-6 + x) 15 + 6x = (-6 * -4 + x * -4) 15 + 6x = (24 + -4x) Solving 15 + 6x = 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 + 6x + 4x = 24 + -4x + 4x Combine like terms: 6x + 4x = 10x 15 + 10x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 10x = 24 + 0 15 + 10x = 24 Add '-15' to each side of the equation. 15 + -15 + 10x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 24 + -15 10x = 24 + -15 Combine like terms: 24 + -15 = 9 10x = 9 Divide each side by '10'. x = 0.9 Simplifying x = 0.9
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