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Simplifying 1 = 3 + -4x + 12 + 5x + 4(3 + -1x) 1 = 3 + -4x + 12 + 5x + (3 * 4 + -1x * 4) 1 = 3 + -4x + 12 + 5x + (12 + -4x) Reorder the terms: 1 = 3 + 12 + 12 + -4x + 5x + -4x Combine like terms: 3 + 12 = 15 1 = 15 + 12 + -4x + 5x + -4x Combine like terms: 15 + 12 = 27 1 = 27 + -4x + 5x + -4x Combine like terms: -4x + 5x = 1x 1 = 27 + 1x + -4x Combine like terms: 1x + -4x = -3x 1 = 27 + -3x Solving 1 = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 3x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 3x = 27 + 0 1 + 3x = 27 Add '-1' to each side of the equation. 1 + -1 + 3x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 27 + -1 3x = 27 + -1 Combine like terms: 27 + -1 = 26 3x = 26 Divide each side by '3'. x = 8.666666667 Simplifying x = 8.666666667
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