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Simplifying 4(4x + -3) + -64(3 + -1x) + -3(12x + -4) = 96 Reorder the terms: 4(-3 + 4x) + -64(3 + -1x) + -3(12x + -4) = 96 (-3 * 4 + 4x * 4) + -64(3 + -1x) + -3(12x + -4) = 96 (-12 + 16x) + -64(3 + -1x) + -3(12x + -4) = 96 -12 + 16x + (3 * -64 + -1x * -64) + -3(12x + -4) = 96 -12 + 16x + (-192 + 64x) + -3(12x + -4) = 96 Reorder the terms: -12 + 16x + -192 + 64x + -3(-4 + 12x) = 96 -12 + 16x + -192 + 64x + (-4 * -3 + 12x * -3) = 96 -12 + 16x + -192 + 64x + (12 + -36x) = 96 Reorder the terms: -12 + -192 + 12 + 16x + 64x + -36x = 96 Combine like terms: -12 + -192 = -204 -204 + 12 + 16x + 64x + -36x = 96 Combine like terms: -204 + 12 = -192 -192 + 16x + 64x + -36x = 96 Combine like terms: 16x + 64x = 80x -192 + 80x + -36x = 96 Combine like terms: 80x + -36x = 44x -192 + 44x = 96 Solving -192 + 44x = 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 + 44x = 96 + 192 Combine like terms: -192 + 192 = 0 0 + 44x = 96 + 192 44x = 96 + 192 Combine like terms: 96 + 192 = 288 44x = 288 Divide each side by '44'. x = 6.545454545 Simplifying x = 6.545454545
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