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Simplifying 0.2x + 0.3(x + -0.2x) + 560 = x Combine like terms: x + -0.2x = 0.8x 0.2x + 0.3(0.8x) + 560 = x Remove parenthesis around (0.8x) 0.2x + 0.3 * 0.8x + 560 = x Multiply 0.3 * 0.8 0.2x + 0.24x + 560 = x Reorder the terms: 560 + 0.2x + 0.24x = x Combine like terms: 0.2x + 0.24x = 0.44x 560 + 0.44x = x Solving 560 + 0.44x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 560 + 0.44x + -1x = x + -1x Combine like terms: 0.44x + -1x = -0.56x 560 + -0.56x = x + -1x Combine like terms: x + -1x = 0 560 + -0.56x = 0 Add '-560' to each side of the equation. 560 + -560 + -0.56x = 0 + -560 Combine like terms: 560 + -560 = 0 0 + -0.56x = 0 + -560 -0.56x = 0 + -560 Combine like terms: 0 + -560 = -560 -0.56x = -560 Divide each side by '-0.56'. x = 1000 Simplifying x = 1000
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