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Simplifying 0.5x + 4 = 1.2x + -3 Reorder the terms: 4 + 0.5x = 1.2x + -3 Reorder the terms: 4 + 0.5x = -3 + 1.2x Solving 4 + 0.5x = -3 + 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. 4 + 0.5x + -1.2x = -3 + 1.2x + -1.2x Combine like terms: 0.5x + -1.2x = -0.7x 4 + -0.7x = -3 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 4 + -0.7x = -3 + 0.0 4 + -0.7x = -3 Add '-4' to each side of the equation. 4 + -4 + -0.7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -0.7x = -3 + -4 -0.7x = -3 + -4 Combine like terms: -3 + -4 = -7 -0.7x = -7 Divide each side by '-0.7'. x = 10 Simplifying x = 10
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