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Simplifying 5(0.3x + 3) + -0.4(1.8x + -0.2) = x Reorder the terms: 5(3 + 0.3x) + -0.4(1.8x + -0.2) = x (3 * 5 + 0.3x * 5) + -0.4(1.8x + -0.2) = x (15 + 1.5x) + -0.4(1.8x + -0.2) = x Reorder the terms: 15 + 1.5x + -0.4(-0.2 + 1.8x) = x 15 + 1.5x + (-0.2 * -0.4 + 1.8x * -0.4) = x 15 + 1.5x + (0.08 + -0.72x) = x Reorder the terms: 15 + 0.08 + 1.5x + -0.72x = x Combine like terms: 15 + 0.08 = 15.08 15.08 + 1.5x + -0.72x = x Combine like terms: 1.5x + -0.72x = 0.78x 15.08 + 0.78x = x Solving 15.08 + 0.78x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15.08 + 0.78x + -1x = x + -1x Combine like terms: 0.78x + -1x = -0.22x 15.08 + -0.22x = x + -1x Combine like terms: x + -1x = 0 15.08 + -0.22x = 0 Add '-15.08' to each side of the equation. 15.08 + -15.08 + -0.22x = 0 + -15.08 Combine like terms: 15.08 + -15.08 = 0.00 0.00 + -0.22x = 0 + -15.08 -0.22x = 0 + -15.08 Combine like terms: 0 + -15.08 = -15.08 -0.22x = -15.08 Divide each side by '-0.22'. x = 68.54545455 Simplifying x = 68.54545455
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