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Simplifying 3(x + 9) + -1(x + -3) = 38 + -2x Reorder the terms: 3(9 + x) + -1(x + -3) = 38 + -2x (9 * 3 + x * 3) + -1(x + -3) = 38 + -2x (27 + 3x) + -1(x + -3) = 38 + -2x Reorder the terms: 27 + 3x + -1(-3 + x) = 38 + -2x 27 + 3x + (-3 * -1 + x * -1) = 38 + -2x 27 + 3x + (3 + -1x) = 38 + -2x Reorder the terms: 27 + 3 + 3x + -1x = 38 + -2x Combine like terms: 27 + 3 = 30 30 + 3x + -1x = 38 + -2x Combine like terms: 3x + -1x = 2x 30 + 2x = 38 + -2x Solving 30 + 2x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + 2x + 2x = 38 + -2x + 2x Combine like terms: 2x + 2x = 4x 30 + 4x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 4x = 38 + 0 30 + 4x = 38 Add '-30' to each side of the equation. 30 + -30 + 4x = 38 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 38 + -30 4x = 38 + -30 Combine like terms: 38 + -30 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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