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Simplifying 2(x + 8) + -10 = -2x + 2 Reorder the terms: 2(8 + x) + -10 = -2x + 2 (8 * 2 + x * 2) + -10 = -2x + 2 (16 + 2x) + -10 = -2x + 2 Reorder the terms: 16 + -10 + 2x = -2x + 2 Combine like terms: 16 + -10 = 6 6 + 2x = -2x + 2 Reorder the terms: 6 + 2x = 2 + -2x Solving 6 + 2x = 2 + -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 = 2 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = 2 + 0 6 + 4x = 2 Add '-6' to each side of the equation. 6 + -6 + 4x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 2 + -6 4x = 2 + -6 Combine like terms: 2 + -6 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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