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Simplifying 1.5 + 2 + 2.5x + -0.5 = 4x + -1.5 + -3x Reorder the terms: 1.5 + 2 + -0.5 + 2.5x = 4x + -1.5 + -3x Combine like terms: 1.5 + 2 = 3.5 3.5 + -0.5 + 2.5x = 4x + -1.5 + -3x Combine like terms: 3.5 + -0.5 = 3 3 + 2.5x = 4x + -1.5 + -3x Reorder the terms: 3 + 2.5x = -1.5 + 4x + -3x Combine like terms: 4x + -3x = 1x 3 + 2.5x = -1.5 + 1x Solving 3 + 2.5x = -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. 3 + 2.5x + -1x = -1.5 + 1x + -1x Combine like terms: 2.5x + -1x = 1.5x 3 + 1.5x = -1.5 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1.5x = -1.5 + 0 3 + 1.5x = -1.5 Add '-3' to each side of the equation. 3 + -3 + 1.5x = -1.5 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = -1.5 + -3 1.5x = -1.5 + -3 Combine like terms: -1.5 + -3 = -4.5 1.5x = -4.5 Divide each side by '1.5'. x = -3 Simplifying x = -3
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