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Simplifying 2(x + -2) = 0.1(x + 6) Reorder the terms: 2(-2 + x) = 0.1(x + 6) (-2 * 2 + x * 2) = 0.1(x + 6) (-4 + 2x) = 0.1(x + 6) Reorder the terms: -4 + 2x = 0.1(6 + x) -4 + 2x = (6 * 0.1 + x * 0.1) -4 + 2x = (0.6 + 0.1x) Solving -4 + 2x = 0.6 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -4 + 2x + -0.1x = 0.6 + 0.1x + -0.1x Combine like terms: 2x + -0.1x = 1.9x -4 + 1.9x = 0.6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -4 + 1.9x = 0.6 + 0.0 -4 + 1.9x = 0.6 Add '4' to each side of the equation. -4 + 4 + 1.9x = 0.6 + 4 Combine like terms: -4 + 4 = 0 0 + 1.9x = 0.6 + 4 1.9x = 0.6 + 4 Combine like terms: 0.6 + 4 = 4.6 1.9x = 4.6 Divide each side by '1.9'. x = 2.421052632 Simplifying x = 2.421052632
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