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Simplifying 0.3x + 5 = 1.5x + -0.4 Reorder the terms: 5 + 0.3x = 1.5x + -0.4 Reorder the terms: 5 + 0.3x = -0.4 + 1.5x Solving 5 + 0.3x = -0.4 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 5 + 0.3x + -1.5x = -0.4 + 1.5x + -1.5x Combine like terms: 0.3x + -1.5x = -1.2x 5 + -1.2x = -0.4 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5 + -1.2x = -0.4 + 0.0 5 + -1.2x = -0.4 Add '-5' to each side of the equation. 5 + -5 + -1.2x = -0.4 + -5 Combine like terms: 5 + -5 = 0 0 + -1.2x = -0.4 + -5 -1.2x = -0.4 + -5 Combine like terms: -0.4 + -5 = -5.4 -1.2x = -5.4 Divide each side by '-1.2'. x = 4.5 Simplifying x = 4.5
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