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Simplifying 5(2x + 3) + -2(x + -4) = 79 Reorder the terms: 5(3 + 2x) + -2(x + -4) = 79 (3 * 5 + 2x * 5) + -2(x + -4) = 79 (15 + 10x) + -2(x + -4) = 79 Reorder the terms: 15 + 10x + -2(-4 + x) = 79 15 + 10x + (-4 * -2 + x * -2) = 79 15 + 10x + (8 + -2x) = 79 Reorder the terms: 15 + 8 + 10x + -2x = 79 Combine like terms: 15 + 8 = 23 23 + 10x + -2x = 79 Combine like terms: 10x + -2x = 8x 23 + 8x = 79 Solving 23 + 8x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 8x = 79 + -23 Combine like terms: 23 + -23 = 0 0 + 8x = 79 + -23 8x = 79 + -23 Combine like terms: 79 + -23 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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