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Simplifying -0.05(80) + 0.7x = 0.3(80 + x) Multiply -0.05 * 80 -4 + 0.7x = 0.3(80 + x) -4 + 0.7x = (80 * 0.3 + x * 0.3) -4 + 0.7x = (24 + 0.3x) Solving -4 + 0.7x = 24 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -4 + 0.7x + -0.3x = 24 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x -4 + 0.4x = 24 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -4 + 0.4x = 24 + 0.0 -4 + 0.4x = 24 Add '4' to each side of the equation. -4 + 4 + 0.4x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 0.4x = 24 + 4 0.4x = 24 + 4 Combine like terms: 24 + 4 = 28 0.4x = 28 Divide each side by '0.4'. x = 70 Simplifying x = 70
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