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Simplifying 1(3x + -1) = 4(3x + 2) Reorder the terms: 1(-1 + 3x) = 4(3x + 2) (-1 * 1 + 3x * 1) = 4(3x + 2) (-1 + 3x) = 4(3x + 2) Reorder the terms: -1 + 3x = 4(2 + 3x) -1 + 3x = (2 * 4 + 3x * 4) -1 + 3x = (8 + 12x) Solving -1 + 3x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 3x + -12x = 8 + 12x + -12x Combine like terms: 3x + -12x = -9x -1 + -9x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -9x = 8 + 0 -1 + -9x = 8 Add '1' to each side of the equation. -1 + 1 + -9x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 8 + 1 -9x = 8 + 1 Combine like terms: 8 + 1 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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