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Simplifying 0.7x + 0.15(80) = 0.6(x + 80) Multiply 0.15 * 80 0.7x + 12 = 0.6(x + 80) Reorder the terms: 12 + 0.7x = 0.6(x + 80) Reorder the terms: 12 + 0.7x = 0.6(80 + x) 12 + 0.7x = (80 * 0.6 + x * 0.6) 12 + 0.7x = (48 + 0.6x) Solving 12 + 0.7x = 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. 12 + 0.7x + -0.6x = 48 + 0.6x + -0.6x Combine like terms: 0.7x + -0.6x = 0.1x 12 + 0.1x = 48 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 12 + 0.1x = 48 + 0.0 12 + 0.1x = 48 Add '-12' to each side of the equation. 12 + -12 + 0.1x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 0.1x = 48 + -12 0.1x = 48 + -12 Combine like terms: 48 + -12 = 36 0.1x = 36 Divide each side by '0.1'. x = 360 Simplifying x = 360
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