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Simplifying 2(-5 + -8x) + -8 = -2x + -5(-6 + -2x) (-5 * 2 + -8x * 2) + -8 = -2x + -5(-6 + -2x) (-10 + -16x) + -8 = -2x + -5(-6 + -2x) Reorder the terms: -10 + -8 + -16x = -2x + -5(-6 + -2x) Combine like terms: -10 + -8 = -18 -18 + -16x = -2x + -5(-6 + -2x) -18 + -16x = -2x + (-6 * -5 + -2x * -5) -18 + -16x = -2x + (30 + 10x) Reorder the terms: -18 + -16x = 30 + -2x + 10x Combine like terms: -2x + 10x = 8x -18 + -16x = 30 + 8x Solving -18 + -16x = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + -16x + -8x = 30 + 8x + -8x Combine like terms: -16x + -8x = -24x -18 + -24x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -24x = 30 + 0 -18 + -24x = 30 Add '18' to each side of the equation. -18 + 18 + -24x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -24x = 30 + 18 -24x = 30 + 18 Combine like terms: 30 + 18 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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