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Simplifying -2(2x + -3) + 2x = 2(x + 5) Reorder the terms: -2(-3 + 2x) + 2x = 2(x + 5) (-3 * -2 + 2x * -2) + 2x = 2(x + 5) (6 + -4x) + 2x = 2(x + 5) Combine like terms: -4x + 2x = -2x 6 + -2x = 2(x + 5) Reorder the terms: 6 + -2x = 2(5 + x) 6 + -2x = (5 * 2 + x * 2) 6 + -2x = (10 + 2x) Solving 6 + -2x = 10 + 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. 6 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x 6 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -4x = 10 + 0 6 + -4x = 10 Add '-6' to each side of the equation. 6 + -6 + -4x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 10 + -6 -4x = 10 + -6 Combine like terms: 10 + -6 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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