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Simplifying 3(x + 4) + 5(2x + -1) = 8x + 37 Reorder the terms: 3(4 + x) + 5(2x + -1) = 8x + 37 (4 * 3 + x * 3) + 5(2x + -1) = 8x + 37 (12 + 3x) + 5(2x + -1) = 8x + 37 Reorder the terms: 12 + 3x + 5(-1 + 2x) = 8x + 37 12 + 3x + (-1 * 5 + 2x * 5) = 8x + 37 12 + 3x + (-5 + 10x) = 8x + 37 Reorder the terms: 12 + -5 + 3x + 10x = 8x + 37 Combine like terms: 12 + -5 = 7 7 + 3x + 10x = 8x + 37 Combine like terms: 3x + 10x = 13x 7 + 13x = 8x + 37 Reorder the terms: 7 + 13x = 37 + 8x Solving 7 + 13x = 37 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 13x + -8x = 37 + 8x + -8x Combine like terms: 13x + -8x = 5x 7 + 5x = 37 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 5x = 37 + 0 7 + 5x = 37 Add '-7' to each side of the equation. 7 + -7 + 5x = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 37 + -7 5x = 37 + -7 Combine like terms: 37 + -7 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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