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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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