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Simplifying -0.10(74) + 0.95x = 0.05(x + -4) Multiply -0.10 * 74 -7.4 + 0.95x = 0.05(x + -4) Reorder the terms: -7.4 + 0.95x = 0.05(-4 + x) -7.4 + 0.95x = (-4 * 0.05 + x * 0.05) -7.4 + 0.95x = (-0.2 + 0.05x) Solving -7.4 + 0.95x = -0.2 + 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 + 0.95x + -0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.95x + -0.05x = 0.9x -7.4 + 0.9x = -0.2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -7.4 + 0.9x = -0.2 + 0.00 -7.4 + 0.9x = -0.2 Add '7.4' to each side of the equation. -7.4 + 7.4 + 0.9x = -0.2 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + 0.9x = -0.2 + 7.4 0.9x = -0.2 + 7.4 Combine like terms: -0.2 + 7.4 = 7.2 0.9x = 7.2 Divide each side by '0.9'. x = 8 Simplifying x = 8
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