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