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Simplifying -0.10(130) + 0.95x = 0.05(x + -8) Multiply -0.10 * 130 -13 + 0.95x = 0.05(x + -8) Reorder the terms: -13 + 0.95x = 0.05(-8 + x) -13 + 0.95x = (-8 * 0.05 + x * 0.05) -13 + 0.95x = (-0.4 + 0.05x) Solving -13 + 0.95x = -0.4 + 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. -13 + 0.95x + -0.05x = -0.4 + 0.05x + -0.05x Combine like terms: 0.95x + -0.05x = 0.9x -13 + 0.9x = -0.4 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -13 + 0.9x = -0.4 + 0.00 -13 + 0.9x = -0.4 Add '13' to each side of the equation. -13 + 13 + 0.9x = -0.4 + 13 Combine like terms: -13 + 13 = 0 0 + 0.9x = -0.4 + 13 0.9x = -0.4 + 13 Combine like terms: -0.4 + 13 = 12.6 0.9x = 12.6 Divide each side by '0.9'. x = 14 Simplifying x = 14
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