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Simplifying -1x + -5.2 = 12 + -2(x + 0.6) + -10 Reorder the terms: -5.2 + -1x = 12 + -2(x + 0.6) + -10 Reorder the terms: -5.2 + -1x = 12 + -2(0.6 + x) + -10 -5.2 + -1x = 12 + (0.6 * -2 + x * -2) + -10 -5.2 + -1x = 12 + (-1.2 + -2x) + -10 Reorder the terms: -5.2 + -1x = 12 + -1.2 + -10 + -2x Combine like terms: 12 + -1.2 = 10.8 -5.2 + -1x = 10.8 + -10 + -2x Combine like terms: 10.8 + -10 = 0.8 -5.2 + -1x = 0.8 + -2x Solving -5.2 + -1x = 0.8 + -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 + -1x + 2x = 0.8 + -2x + 2x Combine like terms: -1x + 2x = 1x -5.2 + 1x = 0.8 + -2x + 2x Combine like terms: -2x + 2x = 0 -5.2 + 1x = 0.8 + 0 -5.2 + 1x = 0.8 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1x = 0.8 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1x = 0.8 + 5.2 1x = 0.8 + 5.2 Combine like terms: 0.8 + 5.2 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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