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Simplifying 6x + 3(x + -4) = 8(8x + -3) Reorder the terms: 6x + 3(-4 + x) = 8(8x + -3) 6x + (-4 * 3 + x * 3) = 8(8x + -3) 6x + (-12 + 3x) = 8(8x + -3) Reorder the terms: -12 + 6x + 3x = 8(8x + -3) Combine like terms: 6x + 3x = 9x -12 + 9x = 8(8x + -3) Reorder the terms: -12 + 9x = 8(-3 + 8x) -12 + 9x = (-3 * 8 + 8x * 8) -12 + 9x = (-24 + 64x) Solving -12 + 9x = -24 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -12 + 9x + -64x = -24 + 64x + -64x Combine like terms: 9x + -64x = -55x -12 + -55x = -24 + 64x + -64x Combine like terms: 64x + -64x = 0 -12 + -55x = -24 + 0 -12 + -55x = -24 Add '12' to each side of the equation. -12 + 12 + -55x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -55x = -24 + 12 -55x = -24 + 12 Combine like terms: -24 + 12 = -12 -55x = -12 Divide each side by '-55'. x = 0.2181818182 Simplifying x = 0.2181818182
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