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Simplifying 3(2x + 5) + -2(4 + -4x) = 7 Reorder the terms: 3(5 + 2x) + -2(4 + -4x) = 7 (5 * 3 + 2x * 3) + -2(4 + -4x) = 7 (15 + 6x) + -2(4 + -4x) = 7 15 + 6x + (4 * -2 + -4x * -2) = 7 15 + 6x + (-8 + 8x) = 7 Reorder the terms: 15 + -8 + 6x + 8x = 7 Combine like terms: 15 + -8 = 7 7 + 6x + 8x = 7 Combine like terms: 6x + 8x = 14x 7 + 14x = 7 Add '-7' to each side of the equation. 7 + -7 + 14x = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 7 + -7 14x = 7 + -7 Combine like terms: 7 + -7 = 0 14x = 0 Solving 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '14'. x = 0 Simplifying x = 0
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