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Simplifying 3(x + -12) + -3x = -4(x + 1) Reorder the terms: 3(-12 + x) + -3x = -4(x + 1) (-12 * 3 + x * 3) + -3x = -4(x + 1) (-36 + 3x) + -3x = -4(x + 1) Combine like terms: 3x + -3x = 0 -36 + 0 = -4(x + 1) -36 = -4(x + 1) Reorder the terms: -36 = -4(1 + x) -36 = (1 * -4 + x * -4) -36 = (-4 + -4x) Solving -36 = -4 + -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. -36 + 4x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + 4x = -4 + 0 -36 + 4x = -4 Add '36' to each side of the equation. -36 + 36 + 4x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -4 + 36 4x = -4 + 36 Combine like terms: -4 + 36 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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