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Simplifying 4(3x + -3) + 4 = -2(x + -4) + -2x Reorder the terms: 4(-3 + 3x) + 4 = -2(x + -4) + -2x (-3 * 4 + 3x * 4) + 4 = -2(x + -4) + -2x (-12 + 12x) + 4 = -2(x + -4) + -2x Reorder the terms: -12 + 4 + 12x = -2(x + -4) + -2x Combine like terms: -12 + 4 = -8 -8 + 12x = -2(x + -4) + -2x Reorder the terms: -8 + 12x = -2(-4 + x) + -2x -8 + 12x = (-4 * -2 + x * -2) + -2x -8 + 12x = (8 + -2x) + -2x Combine like terms: -2x + -2x = -4x -8 + 12x = 8 + -4x Solving -8 + 12x = 8 + -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. -8 + 12x + 4x = 8 + -4x + 4x Combine like terms: 12x + 4x = 16x -8 + 16x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 16x = 8 + 0 -8 + 16x = 8 Add '8' to each side of the equation. -8 + 8 + 16x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 8 + 8 16x = 8 + 8 Combine like terms: 8 + 8 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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