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Simplifying -4(-5x + -8) + 6(6 + -2x) = -48 + 9x Reorder the terms: -4(-8 + -5x) + 6(6 + -2x) = -48 + 9x (-8 * -4 + -5x * -4) + 6(6 + -2x) = -48 + 9x (32 + 20x) + 6(6 + -2x) = -48 + 9x 32 + 20x + (6 * 6 + -2x * 6) = -48 + 9x 32 + 20x + (36 + -12x) = -48 + 9x Reorder the terms: 32 + 36 + 20x + -12x = -48 + 9x Combine like terms: 32 + 36 = 68 68 + 20x + -12x = -48 + 9x Combine like terms: 20x + -12x = 8x 68 + 8x = -48 + 9x Solving 68 + 8x = -48 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 68 + 8x + -9x = -48 + 9x + -9x Combine like terms: 8x + -9x = -1x 68 + -1x = -48 + 9x + -9x Combine like terms: 9x + -9x = 0 68 + -1x = -48 + 0 68 + -1x = -48 Add '-68' to each side of the equation. 68 + -68 + -1x = -48 + -68 Combine like terms: 68 + -68 = 0 0 + -1x = -48 + -68 -1x = -48 + -68 Combine like terms: -48 + -68 = -116 -1x = -116 Divide each side by '-1'. x = 116 Simplifying x = 116
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