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Simplifying 3x + -12 = 4(x + 9) Reorder the terms: -12 + 3x = 4(x + 9) Reorder the terms: -12 + 3x = 4(9 + x) -12 + 3x = (9 * 4 + x * 4) -12 + 3x = (36 + 4x) Solving -12 + 3x = 36 + 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. -12 + 3x + -4x = 36 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = 36 + 0 -12 + -1x = 36 Add '12' to each side of the equation. -12 + 12 + -1x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 36 + 12 -1x = 36 + 12 Combine like terms: 36 + 12 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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