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Simplifying 0.7x + -0.6(60 + x) = -0.5(60) 0.7x + (60 * -0.6 + x * -0.6) = -0.5(60) 0.7x + (-36 + -0.6x) = -0.5(60) Reorder the terms: -36 + 0.7x + -0.6x = -0.5(60) Combine like terms: 0.7x + -0.6x = 0.1x -36 + 0.1x = -0.5(60) Multiply -0.5 * 60 -36 + 0.1x = -30 Solving -36 + 0.1x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 0.1x = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 0.1x = -30 + 36 0.1x = -30 + 36 Combine like terms: -30 + 36 = 6 0.1x = 6 Divide each side by '0.1'. x = 60 Simplifying x = 60
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