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Simplifying 1.2 = 0.2(10x + -4) + -1x Reorder the terms: 1.2 = 0.2(-4 + 10x) + -1x 1.2 = (-4 * 0.2 + 10x * 0.2) + -1x 1.2 = (-0.8 + 2x) + -1x Combine like terms: 2x + -1x = 1x 1.2 = -0.8 + 1x Solving 1.2 = -0.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.2 + -1x = -0.8 + 1x + -1x Combine like terms: 1x + -1x = 0 1.2 + -1x = -0.8 + 0 1.2 + -1x = -0.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -1x = -0.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1x = -0.8 + -1.2 -1x = -0.8 + -1.2 Combine like terms: -0.8 + -1.2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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