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Simplifying 0.4x + 56 = 0.6(x + 80) Reorder the terms: 56 + 0.4x = 0.6(x + 80) Reorder the terms: 56 + 0.4x = 0.6(80 + x) 56 + 0.4x = (80 * 0.6 + x * 0.6) 56 + 0.4x = (48 + 0.6x) Solving 56 + 0.4x = 48 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 56 + 0.4x + -0.6x = 48 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 56 + -0.2x = 48 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 56 + -0.2x = 48 + 0.0 56 + -0.2x = 48 Add '-56' to each side of the equation. 56 + -56 + -0.2x = 48 + -56 Combine like terms: 56 + -56 = 0 0 + -0.2x = 48 + -56 -0.2x = 48 + -56 Combine like terms: 48 + -56 = -8 -0.2x = -8 Divide each side by '-0.2'. x = 40 Simplifying x = 40
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