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Simplifying x + 5.2 = 6.8 + 2(x + -0.2) Reorder the terms: 5.2 + x = 6.8 + 2(x + -0.2) Reorder the terms: 5.2 + x = 6.8 + 2(-0.2 + x) 5.2 + x = 6.8 + (-0.2 * 2 + x * 2) 5.2 + x = 6.8 + (-0.4 + 2x) Combine like terms: 6.8 + -0.4 = 6.4 5.2 + x = 6.4 + 2x Solving 5.2 + x = 6.4 + 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. 5.2 + x + -2x = 6.4 + 2x + -2x Combine like terms: x + -2x = -1x 5.2 + -1x = 6.4 + 2x + -2x Combine like terms: 2x + -2x = 0 5.2 + -1x = 6.4 + 0 5.2 + -1x = 6.4 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -1x = 6.4 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -1x = 6.4 + -5.2 -1x = 6.4 + -5.2 Combine like terms: 6.4 + -5.2 = 1.2 -1x = 1.2 Divide each side by '-1'. x = -1.2 Simplifying x = -1.2
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