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Simplifying 3(x + 2) + -4.5 = x + -8.5 Reorder the terms: 3(2 + x) + -4.5 = x + -8.5 (2 * 3 + x * 3) + -4.5 = x + -8.5 (6 + 3x) + -4.5 = x + -8.5 Reorder the terms: 6 + -4.5 + 3x = x + -8.5 Combine like terms: 6 + -4.5 = 1.5 1.5 + 3x = x + -8.5 Reorder the terms: 1.5 + 3x = -8.5 + x Solving 1.5 + 3x = -8.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.5 + 3x + -1x = -8.5 + x + -1x Combine like terms: 3x + -1x = 2x 1.5 + 2x = -8.5 + x + -1x Combine like terms: x + -1x = 0 1.5 + 2x = -8.5 + 0 1.5 + 2x = -8.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2x = -8.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2x = -8.5 + -1.5 2x = -8.5 + -1.5 Combine like terms: -8.5 + -1.5 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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