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Simplifying 37 + -1(4x + 5) = 2(x + 2) + x Reorder the terms: 37 + -1(5 + 4x) = 2(x + 2) + x 37 + (5 * -1 + 4x * -1) = 2(x + 2) + x 37 + (-5 + -4x) = 2(x + 2) + x Combine like terms: 37 + -5 = 32 32 + -4x = 2(x + 2) + x Reorder the terms: 32 + -4x = 2(2 + x) + x 32 + -4x = (2 * 2 + x * 2) + x 32 + -4x = (4 + 2x) + x Combine like terms: 2x + x = 3x 32 + -4x = 4 + 3x Solving 32 + -4x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + -4x + -3x = 4 + 3x + -3x Combine like terms: -4x + -3x = -7x 32 + -7x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + -7x = 4 + 0 32 + -7x = 4 Add '-32' to each side of the equation. 32 + -32 + -7x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -7x = 4 + -32 -7x = 4 + -32 Combine like terms: 4 + -32 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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