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Simplifying 3(6x + -4) + 4(8 + -2x) + -3(3x + 4) = -4 Reorder the terms: 3(-4 + 6x) + 4(8 + -2x) + -3(3x + 4) = -4 (-4 * 3 + 6x * 3) + 4(8 + -2x) + -3(3x + 4) = -4 (-12 + 18x) + 4(8 + -2x) + -3(3x + 4) = -4 -12 + 18x + (8 * 4 + -2x * 4) + -3(3x + 4) = -4 -12 + 18x + (32 + -8x) + -3(3x + 4) = -4 Reorder the terms: -12 + 18x + 32 + -8x + -3(4 + 3x) = -4 -12 + 18x + 32 + -8x + (4 * -3 + 3x * -3) = -4 -12 + 18x + 32 + -8x + (-12 + -9x) = -4 Reorder the terms: -12 + 32 + -12 + 18x + -8x + -9x = -4 Combine like terms: -12 + 32 = 20 20 + -12 + 18x + -8x + -9x = -4 Combine like terms: 20 + -12 = 8 8 + 18x + -8x + -9x = -4 Combine like terms: 18x + -8x = 10x 8 + 10x + -9x = -4 Combine like terms: 10x + -9x = 1x 8 + 1x = -4 Solving 8 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -4 + -8 1x = -4 + -8 Combine like terms: -4 + -8 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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