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Simplifying 5(0.2 + -0.3x) + -0.9x = -8.6 (0.2 * 5 + -0.3x * 5) + -0.9x = -8.6 (1 + -1.5x) + -0.9x = -8.6 Combine like terms: -1.5x + -0.9x = -2.4x 1 + -2.4x = -8.6 Solving 1 + -2.4x = -8.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2.4x = -8.6 + -1 Combine like terms: 1 + -1 = 0 0 + -2.4x = -8.6 + -1 -2.4x = -8.6 + -1 Combine like terms: -8.6 + -1 = -9.6 -2.4x = -9.6 Divide each side by '-2.4'. x = 4 Simplifying x = 4
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