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Simplifying 12.4 + 8.6x = -3.4(-3x + -4) Reorder the terms: 12.4 + 8.6x = -3.4(-4 + -3x) 12.4 + 8.6x = (-4 * -3.4 + -3x * -3.4) 12.4 + 8.6x = (13.6 + 10.2x) Solving 12.4 + 8.6x = 13.6 + 10.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.2x' to each side of the equation. 12.4 + 8.6x + -10.2x = 13.6 + 10.2x + -10.2x Combine like terms: 8.6x + -10.2x = -1.6x 12.4 + -1.6x = 13.6 + 10.2x + -10.2x Combine like terms: 10.2x + -10.2x = 0.0 12.4 + -1.6x = 13.6 + 0.0 12.4 + -1.6x = 13.6 Add '-12.4' to each side of the equation. 12.4 + -12.4 + -1.6x = 13.6 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -1.6x = 13.6 + -12.4 -1.6x = 13.6 + -12.4 Combine like terms: 13.6 + -12.4 = 1.2 -1.6x = 1.2 Divide each side by '-1.6'. x = -0.75 Simplifying x = -0.75
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