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Simplifying 0.25(x + -8) = 0.1(x + 7) Reorder the terms: 0.25(-8 + x) = 0.1(x + 7) (-8 * 0.25 + x * 0.25) = 0.1(x + 7) (-2 + 0.25x) = 0.1(x + 7) Reorder the terms: -2 + 0.25x = 0.1(7 + x) -2 + 0.25x = (7 * 0.1 + x * 0.1) -2 + 0.25x = (0.7 + 0.1x) Solving -2 + 0.25x = 0.7 + 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. -2 + 0.25x + -0.1x = 0.7 + 0.1x + -0.1x Combine like terms: 0.25x + -0.1x = 0.15x -2 + 0.15x = 0.7 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -2 + 0.15x = 0.7 + 0.0 -2 + 0.15x = 0.7 Add '2' to each side of the equation. -2 + 2 + 0.15x = 0.7 + 2 Combine like terms: -2 + 2 = 0 0 + 0.15x = 0.7 + 2 0.15x = 0.7 + 2 Combine like terms: 0.7 + 2 = 2.7 0.15x = 2.7 Divide each side by '0.15'. x = 18 Simplifying x = 18
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