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Simplifying 2(3x + 5) = 2x + -2 Reorder the terms: 2(5 + 3x) = 2x + -2 (5 * 2 + 3x * 2) = 2x + -2 (10 + 6x) = 2x + -2 Reorder the terms: 10 + 6x = -2 + 2x Solving 10 + 6x = -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. 10 + 6x + -2x = -2 + 2x + -2x Combine like terms: 6x + -2x = 4x 10 + 4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 4x = -2 + 0 10 + 4x = -2 Add '-10' to each side of the equation. 10 + -10 + 4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -2 + -10 4x = -2 + -10 Combine like terms: -2 + -10 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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