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Simplifying -2(5x + -1) + 8 = (2x + -3) + -18 Reorder the terms: -2(-1 + 5x) + 8 = (2x + -3) + -18 (-1 * -2 + 5x * -2) + 8 = (2x + -3) + -18 (2 + -10x) + 8 = (2x + -3) + -18 Reorder the terms: 2 + 8 + -10x = (2x + -3) + -18 Combine like terms: 2 + 8 = 10 10 + -10x = (2x + -3) + -18 Reorder the terms: 10 + -10x = (-3 + 2x) + -18 Remove parenthesis around (-3 + 2x) 10 + -10x = -3 + 2x + -18 Reorder the terms: 10 + -10x = -3 + -18 + 2x Combine like terms: -3 + -18 = -21 10 + -10x = -21 + 2x Solving 10 + -10x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + -10x + -2x = -21 + 2x + -2x Combine like terms: -10x + -2x = -12x 10 + -12x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -12x = -21 + 0 10 + -12x = -21 Add '-10' to each side of the equation. 10 + -10 + -12x = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -21 + -10 -12x = -21 + -10 Combine like terms: -21 + -10 = -31 -12x = -31 Divide each side by '-12'. x = 2.583333333 Simplifying x = 2.583333333
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