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Simplifying 38 + -1(2x + 5) = 4(x + 3) + x Reorder the terms: 38 + -1(5 + 2x) = 4(x + 3) + x 38 + (5 * -1 + 2x * -1) = 4(x + 3) + x 38 + (-5 + -2x) = 4(x + 3) + x Combine like terms: 38 + -5 = 33 33 + -2x = 4(x + 3) + x Reorder the terms: 33 + -2x = 4(3 + x) + x 33 + -2x = (3 * 4 + x * 4) + x 33 + -2x = (12 + 4x) + x Combine like terms: 4x + x = 5x 33 + -2x = 12 + 5x Solving 33 + -2x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 33 + -2x + -5x = 12 + 5x + -5x Combine like terms: -2x + -5x = -7x 33 + -7x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + -7x = 12 + 0 33 + -7x = 12 Add '-33' to each side of the equation. 33 + -33 + -7x = 12 + -33 Combine like terms: 33 + -33 = 0 0 + -7x = 12 + -33 -7x = 12 + -33 Combine like terms: 12 + -33 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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