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Simplifying 2(x + 10) = 6x + -2(x + 1) Reorder the terms: 2(10 + x) = 6x + -2(x + 1) (10 * 2 + x * 2) = 6x + -2(x + 1) (20 + 2x) = 6x + -2(x + 1) Reorder the terms: 20 + 2x = 6x + -2(1 + x) 20 + 2x = 6x + (1 * -2 + x * -2) 20 + 2x = 6x + (-2 + -2x) Reorder the terms: 20 + 2x = -2 + 6x + -2x Combine like terms: 6x + -2x = 4x 20 + 2x = -2 + 4x Solving 20 + 2x = -2 + 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. 20 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x 20 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -2x = -2 + 0 20 + -2x = -2 Add '-20' to each side of the equation. 20 + -20 + -2x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -2 + -20 -2x = -2 + -20 Combine like terms: -2 + -20 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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