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Simplifying 1.5x + 0.9 = 1.2x + -1.5 Reorder the terms: 0.9 + 1.5x = 1.2x + -1.5 Reorder the terms: 0.9 + 1.5x = -1.5 + 1.2x Solving 0.9 + 1.5x = -1.5 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 0.9 + 1.5x + -1.2x = -1.5 + 1.2x + -1.2x Combine like terms: 1.5x + -1.2x = 0.3x 0.9 + 0.3x = -1.5 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 0.9 + 0.3x = -1.5 + 0.0 0.9 + 0.3x = -1.5 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.3x = -1.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.3x = -1.5 + -0.9 0.3x = -1.5 + -0.9 Combine like terms: -1.5 + -0.9 = -2.4 0.3x = -2.4 Divide each side by '0.3'. x = -8 Simplifying x = -8
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