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Simplifying 5(x + 3) + -2(x + -4) = 53 Reorder the terms: 5(3 + x) + -2(x + -4) = 53 (3 * 5 + x * 5) + -2(x + -4) = 53 (15 + 5x) + -2(x + -4) = 53 Reorder the terms: 15 + 5x + -2(-4 + x) = 53 15 + 5x + (-4 * -2 + x * -2) = 53 15 + 5x + (8 + -2x) = 53 Reorder the terms: 15 + 8 + 5x + -2x = 53 Combine like terms: 15 + 8 = 23 23 + 5x + -2x = 53 Combine like terms: 5x + -2x = 3x 23 + 3x = 53 Solving 23 + 3x = 53 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 + 3x = 53 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 53 + -23 3x = 53 + -23 Combine like terms: 53 + -23 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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