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Simplifying -2(8x + -5) + 2x = 4(x + 5) Reorder the terms: -2(-5 + 8x) + 2x = 4(x + 5) (-5 * -2 + 8x * -2) + 2x = 4(x + 5) (10 + -16x) + 2x = 4(x + 5) Combine like terms: -16x + 2x = -14x 10 + -14x = 4(x + 5) Reorder the terms: 10 + -14x = 4(5 + x) 10 + -14x = (5 * 4 + x * 4) 10 + -14x = (20 + 4x) Solving 10 + -14x = 20 + 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. 10 + -14x + -4x = 20 + 4x + -4x Combine like terms: -14x + -4x = -18x 10 + -18x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -18x = 20 + 0 10 + -18x = 20 Add '-10' to each side of the equation. 10 + -10 + -18x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -18x = 20 + -10 -18x = 20 + -10 Combine like terms: 20 + -10 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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