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Simplifying -0.10(62) + 0.80x = 0.05(x + -4) Multiply -0.10 * 62 -6.2 + 0.80x = 0.05(x + -4) Reorder the terms: -6.2 + 0.80x = 0.05(-4 + x) -6.2 + 0.80x = (-4 * 0.05 + x * 0.05) -6.2 + 0.80x = (-0.2 + 0.05x) Solving -6.2 + 0.80x = -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. -6.2 + 0.80x + -0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.80x + -0.05x = 0.75x -6.2 + 0.75x = -0.2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -6.2 + 0.75x = -0.2 + 0.00 -6.2 + 0.75x = -0.2 Add '6.2' to each side of the equation. -6.2 + 6.2 + 0.75x = -0.2 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 0.75x = -0.2 + 6.2 0.75x = -0.2 + 6.2 Combine like terms: -0.2 + 6.2 = 6 0.75x = 6 Divide each side by '0.75'. x = 8 Simplifying x = 8
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