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Simplifying 4(x + -6) = 3(5 + -3x) Reorder the terms: 4(-6 + x) = 3(5 + -3x) (-6 * 4 + x * 4) = 3(5 + -3x) (-24 + 4x) = 3(5 + -3x) -24 + 4x = (5 * 3 + -3x * 3) -24 + 4x = (15 + -9x) Solving -24 + 4x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + 4x + 9x = 15 + -9x + 9x Combine like terms: 4x + 9x = 13x -24 + 13x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 13x = 15 + 0 -24 + 13x = 15 Add '24' to each side of the equation. -24 + 24 + 13x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 15 + 24 13x = 15 + 24 Combine like terms: 15 + 24 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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