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Simplifying -0.10(126) + 0.90x = 0.05(x + -14) Multiply -0.10 * 126 -12.6 + 0.90x = 0.05(x + -14) Reorder the terms: -12.6 + 0.90x = 0.05(-14 + x) -12.6 + 0.90x = (-14 * 0.05 + x * 0.05) -12.6 + 0.90x = (-0.7 + 0.05x) Solving -12.6 + 0.90x = -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. -12.6 + 0.90x + -0.05x = -0.7 + 0.05x + -0.05x Combine like terms: 0.90x + -0.05x = 0.85x -12.6 + 0.85x = -0.7 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -12.6 + 0.85x = -0.7 + 0.00 -12.6 + 0.85x = -0.7 Add '12.6' to each side of the equation. -12.6 + 12.6 + 0.85x = -0.7 + 12.6 Combine like terms: -12.6 + 12.6 = 0.0 0.0 + 0.85x = -0.7 + 12.6 0.85x = -0.7 + 12.6 Combine like terms: -0.7 + 12.6 = 11.9 0.85x = 11.9 Divide each side by '0.85'. x = 14 Simplifying x = 14
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