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Simplifying 3x + -1.5 = 2(3x + 6) Reorder the terms: -1.5 + 3x = 2(3x + 6) Reorder the terms: -1.5 + 3x = 2(6 + 3x) -1.5 + 3x = (6 * 2 + 3x * 2) -1.5 + 3x = (12 + 6x) Solving -1.5 + 3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1.5 + 3x + -6x = 12 + 6x + -6x Combine like terms: 3x + -6x = -3x -1.5 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -1.5 + -3x = 12 + 0 -1.5 + -3x = 12 Add '1.5' to each side of the equation. -1.5 + 1.5 + -3x = 12 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3x = 12 + 1.5 -3x = 12 + 1.5 Combine like terms: 12 + 1.5 = 13.5 -3x = 13.5 Divide each side by '-3'. x = -4.5 Simplifying x = -4.5
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