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Simplifying -0.10(29) + 0.25x = 0.05(x + -18) Multiply -0.10 * 29 -2.9 + 0.25x = 0.05(x + -18) Reorder the terms: -2.9 + 0.25x = 0.05(-18 + x) -2.9 + 0.25x = (-18 * 0.05 + x * 0.05) -2.9 + 0.25x = (-0.9 + 0.05x) Solving -2.9 + 0.25x = -0.9 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -2.9 + 0.25x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -2.9 + 0.2x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.9 + 0.2x = -0.9 + 0.00 -2.9 + 0.2x = -0.9 Add '2.9' to each side of the equation. -2.9 + 2.9 + 0.2x = -0.9 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 0.2x = -0.9 + 2.9 0.2x = -0.9 + 2.9 Combine like terms: -0.9 + 2.9 = 2 0.2x = 2 Divide each side by '0.2'. x = 10 Simplifying x = 10
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