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Simplifying -6(x + -4) + 2 = 40 + -4x Reorder the terms: -6(-4 + x) + 2 = 40 + -4x (-4 * -6 + x * -6) + 2 = 40 + -4x (24 + -6x) + 2 = 40 + -4x Reorder the terms: 24 + 2 + -6x = 40 + -4x Combine like terms: 24 + 2 = 26 26 + -6x = 40 + -4x Solving 26 + -6x = 40 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 26 + -6x + 4x = 40 + -4x + 4x Combine like terms: -6x + 4x = -2x 26 + -2x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 26 + -2x = 40 + 0 26 + -2x = 40 Add '-26' to each side of the equation. 26 + -26 + -2x = 40 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 40 + -26 -2x = 40 + -26 Combine like terms: 40 + -26 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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