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Simplifying -0.10(74) + -0.90x = 0.05(x + -12) Multiply -0.10 * 74 -7.4 + -0.90x = 0.05(x + -12) Reorder the terms: -7.4 + -0.90x = 0.05(-12 + x) -7.4 + -0.90x = (-12 * 0.05 + x * 0.05) -7.4 + -0.90x = (-0.6 + 0.05x) Solving -7.4 + -0.90x = -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. -7.4 + -0.90x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: -0.90x + -0.05x = -0.95x -7.4 + -0.95x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -7.4 + -0.95x = -0.6 + 0.00 -7.4 + -0.95x = -0.6 Add '7.4' to each side of the equation. -7.4 + 7.4 + -0.95x = -0.6 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + -0.95x = -0.6 + 7.4 -0.95x = -0.6 + 7.4 Combine like terms: -0.6 + 7.4 = 6.8 -0.95x = 6.8 Divide each side by '-0.95'. x = -7.157894737 Simplifying x = -7.157894737
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