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Simplifying -0.10(69) + 0.65x = 0.05(x + -18) Multiply -0.10 * 69 -6.9 + 0.65x = 0.05(x + -18) Reorder the terms: -6.9 + 0.65x = 0.05(-18 + x) -6.9 + 0.65x = (-18 * 0.05 + x * 0.05) -6.9 + 0.65x = (-0.9 + 0.05x) Solving -6.9 + 0.65x = -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. -6.9 + 0.65x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.65x + -0.05x = 0.6x -6.9 + 0.6x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -6.9 + 0.6x = -0.9 + 0.00 -6.9 + 0.6x = -0.9 Add '6.9' to each side of the equation. -6.9 + 6.9 + 0.6x = -0.9 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + 0.6x = -0.9 + 6.9 0.6x = -0.9 + 6.9 Combine like terms: -0.9 + 6.9 = 6 0.6x = 6 Divide each side by '0.6'. x = 10 Simplifying x = 10
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