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Simplifying 4(2x + 3) + -5(x + 1) = 124 Reorder the terms: 4(3 + 2x) + -5(x + 1) = 124 (3 * 4 + 2x * 4) + -5(x + 1) = 124 (12 + 8x) + -5(x + 1) = 124 Reorder the terms: 12 + 8x + -5(1 + x) = 124 12 + 8x + (1 * -5 + x * -5) = 124 12 + 8x + (-5 + -5x) = 124 Reorder the terms: 12 + -5 + 8x + -5x = 124 Combine like terms: 12 + -5 = 7 7 + 8x + -5x = 124 Combine like terms: 8x + -5x = 3x 7 + 3x = 124 Solving 7 + 3x = 124 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 124 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 124 + -7 3x = 124 + -7 Combine like terms: 124 + -7 = 117 3x = 117 Divide each side by '3'. x = 39 Simplifying x = 39
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