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Simplifying (3x + -5) + -2 = 2(2x + -5) + -8 Reorder the terms: (-5 + 3x) + -2 = 2(2x + -5) + -8 Remove parenthesis around (-5 + 3x) -5 + 3x + -2 = 2(2x + -5) + -8 Reorder the terms: -5 + -2 + 3x = 2(2x + -5) + -8 Combine like terms: -5 + -2 = -7 -7 + 3x = 2(2x + -5) + -8 Reorder the terms: -7 + 3x = 2(-5 + 2x) + -8 -7 + 3x = (-5 * 2 + 2x * 2) + -8 -7 + 3x = (-10 + 4x) + -8 Reorder the terms: -7 + 3x = -10 + -8 + 4x Combine like terms: -10 + -8 = -18 -7 + 3x = -18 + 4x Solving -7 + 3x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 3x + -4x = -18 + 4x + -4x Combine like terms: 3x + -4x = -1x -7 + -1x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -1x = -18 + 0 -7 + -1x = -18 Add '7' to each side of the equation. -7 + 7 + -1x = -18 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -18 + 7 -1x = -18 + 7 Combine like terms: -18 + 7 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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