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Simplifying x + 12 = 3(x + -48) Reorder the terms: 12 + x = 3(x + -48) Reorder the terms: 12 + x = 3(-48 + x) 12 + x = (-48 * 3 + x * 3) 12 + x = (-144 + 3x) Solving 12 + x = -144 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + x + -3x = -144 + 3x + -3x Combine like terms: x + -3x = -2x 12 + -2x = -144 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -2x = -144 + 0 12 + -2x = -144 Add '-12' to each side of the equation. 12 + -12 + -2x = -144 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -144 + -12 -2x = -144 + -12 Combine like terms: -144 + -12 = -156 -2x = -156 Divide each side by '-2'. x = 78 Simplifying x = 78
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