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Simplifying (-2x + 6) * 0.2 = (-8 + 10x) * 0.2 Reorder the terms: (6 + -2x) * 0.2 = (-8 + 10x) * 0.2 Reorder the terms for easier multiplication: 0.2(6 + -2x) = (-8 + 10x) * 0.2 (6 * 0.2 + -2x * 0.2) = (-8 + 10x) * 0.2 (1.2 + -0.4x) = (-8 + 10x) * 0.2 Reorder the terms for easier multiplication: 1.2 + -0.4x = 0.2(-8 + 10x) 1.2 + -0.4x = (-8 * 0.2 + 10x * 0.2) 1.2 + -0.4x = (-1.6 + 2x) Solving 1.2 + -0.4x = -1.6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.2 + -0.4x + -2x = -1.6 + 2x + -2x Combine like terms: -0.4x + -2x = -2.4x 1.2 + -2.4x = -1.6 + 2x + -2x Combine like terms: 2x + -2x = 0 1.2 + -2.4x = -1.6 + 0 1.2 + -2.4x = -1.6 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -2.4x = -1.6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -2.4x = -1.6 + -1.2 -2.4x = -1.6 + -1.2 Combine like terms: -1.6 + -1.2 = -2.8 -2.4x = -2.8 Divide each side by '-2.4'. x = 1.166666667 Simplifying x = 1.166666667
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