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Simplifying 3(x + -5) = 9 + 4(x + -6) Reorder the terms: 3(-5 + x) = 9 + 4(x + -6) (-5 * 3 + x * 3) = 9 + 4(x + -6) (-15 + 3x) = 9 + 4(x + -6) Reorder the terms: -15 + 3x = 9 + 4(-6 + x) -15 + 3x = 9 + (-6 * 4 + x * 4) -15 + 3x = 9 + (-24 + 4x) Combine like terms: 9 + -24 = -15 -15 + 3x = -15 + 4x Add '15' to each side of the equation. -15 + 15 + 3x = -15 + 15 + 4x Combine like terms: -15 + 15 = 0 0 + 3x = -15 + 15 + 4x 3x = -15 + 15 + 4x Combine like terms: -15 + 15 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 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. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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