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Simplifying -0.8(x + 1) = 0.2(x + 7) Reorder the terms: -0.8(1 + x) = 0.2(x + 7) (1 * -0.8 + x * -0.8) = 0.2(x + 7) (-0.8 + -0.8x) = 0.2(x + 7) Reorder the terms: -0.8 + -0.8x = 0.2(7 + x) -0.8 + -0.8x = (7 * 0.2 + x * 0.2) -0.8 + -0.8x = (1.4 + 0.2x) Solving -0.8 + -0.8x = 1.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.8 + -0.8x + -0.2x = 1.4 + 0.2x + -0.2x Combine like terms: -0.8x + -0.2x = -1x -0.8 + -1x = 1.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.8 + -1x = 1.4 + 0.0 -0.8 + -1x = 1.4 Add '0.8' to each side of the equation. -0.8 + 0.8 + -1x = 1.4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -1x = 1.4 + 0.8 -1x = 1.4 + 0.8 Combine like terms: 1.4 + 0.8 = 2.2 -1x = 2.2 Divide each side by '-1'. x = -2.2 Simplifying x = -2.2
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