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Simplifying 3(x + 4) + -2(x + 4) = 4(2x + -3) + -8(x + -2) Reorder the terms: 3(4 + x) + -2(x + 4) = 4(2x + -3) + -8(x + -2) (4 * 3 + x * 3) + -2(x + 4) = 4(2x + -3) + -8(x + -2) (12 + 3x) + -2(x + 4) = 4(2x + -3) + -8(x + -2) Reorder the terms: 12 + 3x + -2(4 + x) = 4(2x + -3) + -8(x + -2) 12 + 3x + (4 * -2 + x * -2) = 4(2x + -3) + -8(x + -2) 12 + 3x + (-8 + -2x) = 4(2x + -3) + -8(x + -2) Reorder the terms: 12 + -8 + 3x + -2x = 4(2x + -3) + -8(x + -2) Combine like terms: 12 + -8 = 4 4 + 3x + -2x = 4(2x + -3) + -8(x + -2) Combine like terms: 3x + -2x = 1x 4 + 1x = 4(2x + -3) + -8(x + -2) Reorder the terms: 4 + 1x = 4(-3 + 2x) + -8(x + -2) 4 + 1x = (-3 * 4 + 2x * 4) + -8(x + -2) 4 + 1x = (-12 + 8x) + -8(x + -2) Reorder the terms: 4 + 1x = -12 + 8x + -8(-2 + x) 4 + 1x = -12 + 8x + (-2 * -8 + x * -8) 4 + 1x = -12 + 8x + (16 + -8x) Reorder the terms: 4 + 1x = -12 + 16 + 8x + -8x Combine like terms: -12 + 16 = 4 4 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 1x = 4 + 0 4 + 1x = 4 Add '-4' to each side of the equation. 4 + -4 + 1x = 4 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 4 + -4 1x = 4 + -4 Combine like terms: 4 + -4 = 0 1x = 0 Solving 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '1'. x = 0 Simplifying x = 0
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