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Simplifying -0.10(42) + 0.65x = 0.05(x + -12) Multiply -0.10 * 42 -4.2 + 0.65x = 0.05(x + -12) Reorder the terms: -4.2 + 0.65x = 0.05(-12 + x) -4.2 + 0.65x = (-12 * 0.05 + x * 0.05) -4.2 + 0.65x = (-0.6 + 0.05x) Solving -4.2 + 0.65x = -0.6 + 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. -4.2 + 0.65x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.65x + -0.05x = 0.6x -4.2 + 0.6x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4.2 + 0.6x = -0.6 + 0.00 -4.2 + 0.6x = -0.6 Add '4.2' to each side of the equation. -4.2 + 4.2 + 0.6x = -0.6 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 0.6x = -0.6 + 4.2 0.6x = -0.6 + 4.2 Combine like terms: -0.6 + 4.2 = 3.6 0.6x = 3.6 Divide each side by '0.6'. x = 6 Simplifying x = 6
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