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Simplifying -0.10(26) + 0.09x = 0.05(x + -18) Multiply -0.10 * 26 -2.6 + 0.09x = 0.05(x + -18) Reorder the terms: -2.6 + 0.09x = 0.05(-18 + x) -2.6 + 0.09x = (-18 * 0.05 + x * 0.05) -2.6 + 0.09x = (-0.9 + 0.05x) Solving -2.6 + 0.09x = -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. -2.6 + 0.09x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.09x + -0.05x = 0.04x -2.6 + 0.04x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.6 + 0.04x = -0.9 + 0.00 -2.6 + 0.04x = -0.9 Add '2.6' to each side of the equation. -2.6 + 2.6 + 0.04x = -0.9 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 0.04x = -0.9 + 2.6 0.04x = -0.9 + 2.6 Combine like terms: -0.9 + 2.6 = 1.7 0.04x = 1.7 Divide each side by '0.04'. x = 42.5 Simplifying x = 42.5
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