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Simplifying 0.6(4 + -1x) + -5(0.2x + 0.34) + 5.7 = 0 (4 * 0.6 + -1x * 0.6) + -5(0.2x + 0.34) + 5.7 = 0 (2.4 + -0.6x) + -5(0.2x + 0.34) + 5.7 = 0 Reorder the terms: 2.4 + -0.6x + -5(0.34 + 0.2x) + 5.7 = 0 2.4 + -0.6x + (0.34 * -5 + 0.2x * -5) + 5.7 = 0 2.4 + -0.6x + (-1.7 + -1x) + 5.7 = 0 Reorder the terms: 2.4 + -1.7 + 5.7 + -0.6x + -1x = 0 Combine like terms: 2.4 + -1.7 = 0.7 0.7 + 5.7 + -0.6x + -1x = 0 Combine like terms: 0.7 + 5.7 = 6.4 6.4 + -0.6x + -1x = 0 Combine like terms: -0.6x + -1x = -1.6x 6.4 + -1.6x = 0 Solving 6.4 + -1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.4' to each side of the equation. 6.4 + -6.4 + -1.6x = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -1.6x = 0 + -6.4 -1.6x = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 -1.6x = -6.4 Divide each side by '-1.6'. x = 4 Simplifying x = 4
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