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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 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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