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Simplifying -3(-5x + -6) = 8(2x + 10) Reorder the terms: -3(-6 + -5x) = 8(2x + 10) (-6 * -3 + -5x * -3) = 8(2x + 10) (18 + 15x) = 8(2x + 10) Reorder the terms: 18 + 15x = 8(10 + 2x) 18 + 15x = (10 * 8 + 2x * 8) 18 + 15x = (80 + 16x) Solving 18 + 15x = 80 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 18 + 15x + -16x = 80 + 16x + -16x Combine like terms: 15x + -16x = -1x 18 + -1x = 80 + 16x + -16x Combine like terms: 16x + -16x = 0 18 + -1x = 80 + 0 18 + -1x = 80 Add '-18' to each side of the equation. 18 + -18 + -1x = 80 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 80 + -18 -1x = 80 + -18 Combine like terms: 80 + -18 = 62 -1x = 62 Divide each side by '-1'. x = -62 Simplifying x = -62
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