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Simplifying 3(1 + 2x) + -4x = -1(x + -30) (1 * 3 + 2x * 3) + -4x = -1(x + -30) (3 + 6x) + -4x = -1(x + -30) Combine like terms: 6x + -4x = 2x 3 + 2x = -1(x + -30) Reorder the terms: 3 + 2x = -1(-30 + x) 3 + 2x = (-30 * -1 + x * -1) 3 + 2x = (30 + -1x) Solving 3 + 2x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 2x + x = 30 + -1x + x Combine like terms: 2x + x = 3x 3 + 3x = 30 + -1x + x Combine like terms: -1x + x = 0 3 + 3x = 30 + 0 3 + 3x = 30 Add '-3' to each side of the equation. 3 + -3 + 3x = 30 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 30 + -3 3x = 30 + -3 Combine like terms: 30 + -3 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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