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Simplifying 3x + 1.5 = (x + 5) + 3x + -2 Reorder the terms: 1.5 + 3x = (x + 5) + 3x + -2 Reorder the terms: 1.5 + 3x = (5 + x) + 3x + -2 Remove parenthesis around (5 + x) 1.5 + 3x = 5 + x + 3x + -2 Reorder the terms: 1.5 + 3x = 5 + -2 + x + 3x Combine like terms: 5 + -2 = 3 1.5 + 3x = 3 + x + 3x Combine like terms: x + 3x = 4x 1.5 + 3x = 3 + 4x Solving 1.5 + 3x = 3 + 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 = 3 + 4x + -4x Combine like terms: 3x + -4x = -1x 1.5 + -1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 1.5 + -1x = 3 + 0 1.5 + -1x = 3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1x = 3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1x = 3 + -1.5 -1x = 3 + -1.5 Combine like terms: 3 + -1.5 = 1.5 -1x = 1.5 Divide each side by '-1'. x = -1.5 Simplifying x = -1.5
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