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Simplifying -0.10(13) + 0.10x = 0.05(x + -18) Multiply -0.10 * 13 -1.3 + 0.10x = 0.05(x + -18) Reorder the terms: -1.3 + 0.10x = 0.05(-18 + x) -1.3 + 0.10x = (-18 * 0.05 + x * 0.05) -1.3 + 0.10x = (-0.9 + 0.05x) Solving -1.3 + 0.10x = -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. -1.3 + 0.10x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x -1.3 + 0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.3 + 0.05x = -0.9 + 0.00 -1.3 + 0.05x = -0.9 Add '1.3' to each side of the equation. -1.3 + 1.3 + 0.05x = -0.9 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 0.05x = -0.9 + 1.3 0.05x = -0.9 + 1.3 Combine like terms: -0.9 + 1.3 = 0.4 0.05x = 0.4 Divide each side by '0.05'. x = 8 Simplifying x = 8
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