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Simplifying 2(x + 3) = 5(2x + -2) Reorder the terms: 2(3 + x) = 5(2x + -2) (3 * 2 + x * 2) = 5(2x + -2) (6 + 2x) = 5(2x + -2) Reorder the terms: 6 + 2x = 5(-2 + 2x) 6 + 2x = (-2 * 5 + 2x * 5) 6 + 2x = (-10 + 10x) Solving 6 + 2x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 2x + -10x = -10 + 10x + -10x Combine like terms: 2x + -10x = -8x 6 + -8x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -8x = -10 + 0 6 + -8x = -10 Add '-6' to each side of the equation. 6 + -6 + -8x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -10 + -6 -8x = -10 + -6 Combine like terms: -10 + -6 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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