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Simplifying -0.10(35) + 0.75x = 0.05(x + -14) Multiply -0.10 * 35 -3.5 + 0.75x = 0.05(x + -14) Reorder the terms: -3.5 + 0.75x = 0.05(-14 + x) -3.5 + 0.75x = (-14 * 0.05 + x * 0.05) -3.5 + 0.75x = (-0.7 + 0.05x) Solving -3.5 + 0.75x = -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. -3.5 + 0.75x + -0.05x = -0.7 + 0.05x + -0.05x Combine like terms: 0.75x + -0.05x = 0.7x -3.5 + 0.7x = -0.7 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3.5 + 0.7x = -0.7 + 0.00 -3.5 + 0.7x = -0.7 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.7x = -0.7 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.7x = -0.7 + 3.5 0.7x = -0.7 + 3.5 Combine like terms: -0.7 + 3.5 = 2.8 0.7x = 2.8 Divide each side by '0.7'. x = 4 Simplifying x = 4
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