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Simplifying 3x + 1.5 = 3x + -2 + 1x + 0.5 Reorder the terms: 1.5 + 3x = 3x + -2 + 1x + 0.5 Reorder the terms: 1.5 + 3x = -2 + 0.5 + 3x + 1x Combine like terms: -2 + 0.5 = -1.5 1.5 + 3x = -1.5 + 3x + 1x Combine like terms: 3x + 1x = 4x 1.5 + 3x = -1.5 + 4x Solving 1.5 + 3x = -1.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1.5 + 3x + -4x = -1.5 + 4x + -4x Combine like terms: 3x + -4x = -1x 1.5 + -1x = -1.5 + 4x + -4x Combine like terms: 4x + -4x = 0 1.5 + -1x = -1.5 + 0 1.5 + -1x = -1.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1x = -1.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1x = -1.5 + -1.5 -1x = -1.5 + -1.5 Combine like terms: -1.5 + -1.5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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