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Simplifying -0.10(103) + 0.85 = 0.05(x + -14) Multiply -0.10 * 103 -10.3 + 0.85 = 0.05(x + -14) Combine like terms: -10.3 + 0.85 = -9.45 -9.45 = 0.05(x + -14) Reorder the terms: -9.45 = 0.05(-14 + x) -9.45 = (-14 * 0.05 + x * 0.05) -9.45 = (-0.7 + 0.05x) Solving -9.45 = -0.7 + 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. -9.45 + -0.05x = -0.7 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -9.45 + -0.05x = -0.7 + 0.00 -9.45 + -0.05x = -0.7 Add '9.45' to each side of the equation. -9.45 + 9.45 + -0.05x = -0.7 + 9.45 Combine like terms: -9.45 + 9.45 = 0.00 0.00 + -0.05x = -0.7 + 9.45 -0.05x = -0.7 + 9.45 Combine like terms: -0.7 + 9.45 = 8.75 -0.05x = 8.75 Divide each side by '-0.05'. x = -175 Simplifying x = -175
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