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Simplifying 3(2x + 4) + 5(3 + -2x) = 7 + -2x Reorder the terms: 3(4 + 2x) + 5(3 + -2x) = 7 + -2x (4 * 3 + 2x * 3) + 5(3 + -2x) = 7 + -2x (12 + 6x) + 5(3 + -2x) = 7 + -2x 12 + 6x + (3 * 5 + -2x * 5) = 7 + -2x 12 + 6x + (15 + -10x) = 7 + -2x Reorder the terms: 12 + 15 + 6x + -10x = 7 + -2x Combine like terms: 12 + 15 = 27 27 + 6x + -10x = 7 + -2x Combine like terms: 6x + -10x = -4x 27 + -4x = 7 + -2x Solving 27 + -4x = 7 + -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. 27 + -4x + 2x = 7 + -2x + 2x Combine like terms: -4x + 2x = -2x 27 + -2x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + -2x = 7 + 0 27 + -2x = 7 Add '-27' to each side of the equation. 27 + -27 + -2x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 7 + -27 -2x = 7 + -27 Combine like terms: 7 + -27 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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