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Simplifying 4(x + -3) + -64(-1x + 3) + -3(12x + -4) = 96 Reorder the terms: 4(-3 + x) + -64(-1x + 3) + -3(12x + -4) = 96 (-3 * 4 + x * 4) + -64(-1x + 3) + -3(12x + -4) = 96 (-12 + 4x) + -64(-1x + 3) + -3(12x + -4) = 96 Reorder the terms: -12 + 4x + -64(3 + -1x) + -3(12x + -4) = 96 -12 + 4x + (3 * -64 + -1x * -64) + -3(12x + -4) = 96 -12 + 4x + (-192 + 64x) + -3(12x + -4) = 96 Reorder the terms: -12 + 4x + -192 + 64x + -3(-4 + 12x) = 96 -12 + 4x + -192 + 64x + (-4 * -3 + 12x * -3) = 96 -12 + 4x + -192 + 64x + (12 + -36x) = 96 Reorder the terms: -12 + -192 + 12 + 4x + 64x + -36x = 96 Combine like terms: -12 + -192 = -204 -204 + 12 + 4x + 64x + -36x = 96 Combine like terms: -204 + 12 = -192 -192 + 4x + 64x + -36x = 96 Combine like terms: 4x + 64x = 68x -192 + 68x + -36x = 96 Combine like terms: 68x + -36x = 32x -192 + 32x = 96 Solving -192 + 32x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '192' to each side of the equation. -192 + 192 + 32x = 96 + 192 Combine like terms: -192 + 192 = 0 0 + 32x = 96 + 192 32x = 96 + 192 Combine like terms: 96 + 192 = 288 32x = 288 Divide each side by '32'. x = 9 Simplifying x = 9
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