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Simplifying 3x + 9 = 4(x + -6) Reorder the terms: 9 + 3x = 4(x + -6) Reorder the terms: 9 + 3x = 4(-6 + x) 9 + 3x = (-6 * 4 + x * 4) 9 + 3x = (-24 + 4x) Solving 9 + 3x = -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. 9 + 3x + -4x = -24 + 4x + -4x Combine like terms: 3x + -4x = -1x 9 + -1x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -1x = -24 + 0 9 + -1x = -24 Add '-9' to each side of the equation. 9 + -9 + -1x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -24 + -9 -1x = -24 + -9 Combine like terms: -24 + -9 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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