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Simplifying -2 + 8(-2x + -3) = -2(1 + 5x) Reorder the terms: -2 + 8(-3 + -2x) = -2(1 + 5x) -2 + (-3 * 8 + -2x * 8) = -2(1 + 5x) -2 + (-24 + -16x) = -2(1 + 5x) Combine like terms: -2 + -24 = -26 -26 + -16x = -2(1 + 5x) -26 + -16x = (1 * -2 + 5x * -2) -26 + -16x = (-2 + -10x) Solving -26 + -16x = -2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -26 + -16x + 10x = -2 + -10x + 10x Combine like terms: -16x + 10x = -6x -26 + -6x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 -26 + -6x = -2 + 0 -26 + -6x = -2 Add '26' to each side of the equation. -26 + 26 + -6x = -2 + 26 Combine like terms: -26 + 26 = 0 0 + -6x = -2 + 26 -6x = -2 + 26 Combine like terms: -2 + 26 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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