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Simplifying (3x + -12) + 11 = 1 + 1.5x Reorder the terms: (-12 + 3x) + 11 = 1 + 1.5x Remove parenthesis around (-12 + 3x) -12 + 3x + 11 = 1 + 1.5x Reorder the terms: -12 + 11 + 3x = 1 + 1.5x Combine like terms: -12 + 11 = -1 -1 + 3x = 1 + 1.5x Solving -1 + 3x = 1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -1 + 3x + -1.5x = 1 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -1 + 1.5x = 1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1 + 1.5x = 1 + 0.0 -1 + 1.5x = 1 Add '1' to each side of the equation. -1 + 1 + 1.5x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1.5x = 1 + 1 1.5x = 1 + 1 Combine like terms: 1 + 1 = 2 1.5x = 2 Divide each side by '1.5'. x = 1.333333333 Simplifying x = 1.333333333
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