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Simplifying 8(3x + -1) + -2x = 2(2x + -5) + -8 Reorder the terms: 8(-1 + 3x) + -2x = 2(2x + -5) + -8 (-1 * 8 + 3x * 8) + -2x = 2(2x + -5) + -8 (-8 + 24x) + -2x = 2(2x + -5) + -8 Combine like terms: 24x + -2x = 22x -8 + 22x = 2(2x + -5) + -8 Reorder the terms: -8 + 22x = 2(-5 + 2x) + -8 -8 + 22x = (-5 * 2 + 2x * 2) + -8 -8 + 22x = (-10 + 4x) + -8 Reorder the terms: -8 + 22x = -10 + -8 + 4x Combine like terms: -10 + -8 = -18 -8 + 22x = -18 + 4x Solving -8 + 22x = -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. -8 + 22x + -4x = -18 + 4x + -4x Combine like terms: 22x + -4x = 18x -8 + 18x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 18x = -18 + 0 -8 + 18x = -18 Add '8' to each side of the equation. -8 + 8 + 18x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = -18 + 8 18x = -18 + 8 Combine like terms: -18 + 8 = -10 18x = -10 Divide each side by '18'. x = -0.5555555556 Simplifying x = -0.5555555556
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