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Simplifying -8x + -8(x + 3) = -3(5x + 4) Reorder the terms: -8x + -8(3 + x) = -3(5x + 4) -8x + (3 * -8 + x * -8) = -3(5x + 4) -8x + (-24 + -8x) = -3(5x + 4) Reorder the terms: -24 + -8x + -8x = -3(5x + 4) Combine like terms: -8x + -8x = -16x -24 + -16x = -3(5x + 4) Reorder the terms: -24 + -16x = -3(4 + 5x) -24 + -16x = (4 * -3 + 5x * -3) -24 + -16x = (-12 + -15x) Solving -24 + -16x = -12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -24 + -16x + 15x = -12 + -15x + 15x Combine like terms: -16x + 15x = -1x -24 + -1x = -12 + -15x + 15x Combine like terms: -15x + 15x = 0 -24 + -1x = -12 + 0 -24 + -1x = -12 Add '24' to each side of the equation. -24 + 24 + -1x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -12 + 24 -1x = -12 + 24 Combine like terms: -12 + 24 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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