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Simplifying 1.5x + 2 + 2.5x + -0.5 = 4x + -1.5 + -3x Reorder the terms: 2 + -0.5 + 1.5x + 2.5x = 4x + -1.5 + -3x Combine like terms: 2 + -0.5 = 1.5 1.5 + 1.5x + 2.5x = 4x + -1.5 + -3x Combine like terms: 1.5x + 2.5x = 4x 1.5 + 4x = 4x + -1.5 + -3x Reorder the terms: 1.5 + 4x = -1.5 + 4x + -3x Combine like terms: 4x + -3x = 1x 1.5 + 4x = -1.5 + 1x Solving 1.5 + 4x = -1.5 + 1x 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 + 4x + -1x = -1.5 + 1x + -1x Combine like terms: 4x + -1x = 3x 1.5 + 3x = -1.5 + 1x + -1x Combine like terms: 1x + -1x = 0 1.5 + 3x = -1.5 + 0 1.5 + 3x = -1.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 3x = -1.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3x = -1.5 + -1.5 3x = -1.5 + -1.5 Combine like terms: -1.5 + -1.5 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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