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Simplifying 0.7x + -0.3(60 + x) = -0.1(60) 0.7x + (60 * -0.3 + x * -0.3) = -0.1(60) 0.7x + (-18 + -0.3x) = -0.1(60) Reorder the terms: -18 + 0.7x + -0.3x = -0.1(60) Combine like terms: 0.7x + -0.3x = 0.4x -18 + 0.4x = -0.1(60) Multiply -0.1 * 60 -18 + 0.4x = -6 Solving -18 + 0.4x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 0.4x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 0.4x = -6 + 18 0.4x = -6 + 18 Combine like terms: -6 + 18 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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