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Simplifying -0.20(70) + 0.80x = 0.30(70 + x) Multiply -0.20 * 70 -14 + 0.80x = 0.30(70 + x) -14 + 0.80x = (70 * 0.30 + x * 0.30) -14 + 0.80x = (21 + 0.30x) Solving -14 + 0.80x = 21 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. -14 + 0.80x + -0.30x = 21 + 0.30x + -0.30x Combine like terms: 0.80x + -0.30x = 0.5x -14 + 0.5x = 21 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 -14 + 0.5x = 21 + 0.00 -14 + 0.5x = 21 Add '14' to each side of the equation. -14 + 14 + 0.5x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 0.5x = 21 + 14 0.5x = 21 + 14 Combine like terms: 21 + 14 = 35 0.5x = 35 Divide each side by '0.5'. x = 70 Simplifying x = 70
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