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Simplifying 0.5(9 + -1x) + 0.2x = 4.2 (9 * 0.5 + -1x * 0.5) + 0.2x = 4.2 (4.5 + -0.5x) + 0.2x = 4.2 Combine like terms: -0.5x + 0.2x = -0.3x 4.5 + -0.3x = 4.2 Solving 4.5 + -0.3x = 4.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.3x = 4.2 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.3x = 4.2 + -4.5 -0.3x = 4.2 + -4.5 Combine like terms: 4.2 + -4.5 = -0.3 -0.3x = -0.3 Divide each side by '-0.3'. x = 1 Simplifying x = 1
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