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Simplifying 4(3x + -4) + 3(-2x + -2) = 86 Reorder the terms: 4(-4 + 3x) + 3(-2x + -2) = 86 (-4 * 4 + 3x * 4) + 3(-2x + -2) = 86 (-16 + 12x) + 3(-2x + -2) = 86 Reorder the terms: -16 + 12x + 3(-2 + -2x) = 86 -16 + 12x + (-2 * 3 + -2x * 3) = 86 -16 + 12x + (-6 + -6x) = 86 Reorder the terms: -16 + -6 + 12x + -6x = 86 Combine like terms: -16 + -6 = -22 -22 + 12x + -6x = 86 Combine like terms: 12x + -6x = 6x -22 + 6x = 86 Solving -22 + 6x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6x = 86 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 86 + 22 6x = 86 + 22 Combine like terms: 86 + 22 = 108 6x = 108 Divide each side by '6'. x = 18 Simplifying x = 18
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