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Simplifying 2(x + -2) + 10 = 2(2x + 9) Reorder the terms: 2(-2 + x) + 10 = 2(2x + 9) (-2 * 2 + x * 2) + 10 = 2(2x + 9) (-4 + 2x) + 10 = 2(2x + 9) Reorder the terms: -4 + 10 + 2x = 2(2x + 9) Combine like terms: -4 + 10 = 6 6 + 2x = 2(2x + 9) Reorder the terms: 6 + 2x = 2(9 + 2x) 6 + 2x = (9 * 2 + 2x * 2) 6 + 2x = (18 + 4x) Solving 6 + 2x = 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. 6 + 2x + -4x = 18 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = 18 + 0 6 + -2x = 18 Add '-6' to each side of the equation. 6 + -6 + -2x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 18 + -6 -2x = 18 + -6 Combine like terms: 18 + -6 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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