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Simplifying 0.7(x + 300) = 0.78x + -358 Reorder the terms: 0.7(300 + x) = 0.78x + -358 (300 * 0.7 + x * 0.7) = 0.78x + -358 (210 + 0.7x) = 0.78x + -358 Reorder the terms: 210 + 0.7x = -358 + 0.78x Solving 210 + 0.7x = -358 + 0.78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.78x' to each side of the equation. 210 + 0.7x + -0.78x = -358 + 0.78x + -0.78x Combine like terms: 0.7x + -0.78x = -0.08x 210 + -0.08x = -358 + 0.78x + -0.78x Combine like terms: 0.78x + -0.78x = 0.00 210 + -0.08x = -358 + 0.00 210 + -0.08x = -358 Add '-210' to each side of the equation. 210 + -210 + -0.08x = -358 + -210 Combine like terms: 210 + -210 = 0 0 + -0.08x = -358 + -210 -0.08x = -358 + -210 Combine like terms: -358 + -210 = -568 -0.08x = -568 Divide each side by '-0.08'. x = 7100 Simplifying x = 7100
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