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Simplifying 0.3(x + 60) + -0.7(x + 2) = 4 Reorder the terms: 0.3(60 + x) + -0.7(x + 2) = 4 (60 * 0.3 + x * 0.3) + -0.7(x + 2) = 4 (18 + 0.3x) + -0.7(x + 2) = 4 Reorder the terms: 18 + 0.3x + -0.7(2 + x) = 4 18 + 0.3x + (2 * -0.7 + x * -0.7) = 4 18 + 0.3x + (-1.4 + -0.7x) = 4 Reorder the terms: 18 + -1.4 + 0.3x + -0.7x = 4 Combine like terms: 18 + -1.4 = 16.6 16.6 + 0.3x + -0.7x = 4 Combine like terms: 0.3x + -0.7x = -0.4x 16.6 + -0.4x = 4 Solving 16.6 + -0.4x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.6' to each side of the equation. 16.6 + -16.6 + -0.4x = 4 + -16.6 Combine like terms: 16.6 + -16.6 = 0.0 0.0 + -0.4x = 4 + -16.6 -0.4x = 4 + -16.6 Combine like terms: 4 + -16.6 = -12.6 -0.4x = -12.6 Divide each side by '-0.4'. x = 31.5 Simplifying x = 31.5
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