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Simplifying 0.5x + 1.2 = 0.9x + -2 Reorder the terms: 1.2 + 0.5x = 0.9x + -2 Reorder the terms: 1.2 + 0.5x = -2 + 0.9x Solving 1.2 + 0.5x = -2 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.2 + 0.5x + -0.9x = -2 + 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 1.2 + -0.4x = -2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.2 + -0.4x = -2 + 0.0 1.2 + -0.4x = -2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.4x = -2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.4x = -2 + -1.2 -0.4x = -2 + -1.2 Combine like terms: -2 + -1.2 = -3.2 -0.4x = -3.2 Divide each side by '-0.4'. x = 8 Simplifying x = 8
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