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Simplifying -3(2x + -4) + 6 = 8 + -4x Reorder the terms: -3(-4 + 2x) + 6 = 8 + -4x (-4 * -3 + 2x * -3) + 6 = 8 + -4x (12 + -6x) + 6 = 8 + -4x Reorder the terms: 12 + 6 + -6x = 8 + -4x Combine like terms: 12 + 6 = 18 18 + -6x = 8 + -4x Solving 18 + -6x = 8 + -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. 18 + -6x + 4x = 8 + -4x + 4x Combine like terms: -6x + 4x = -2x 18 + -2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + -2x = 8 + 0 18 + -2x = 8 Add '-18' to each side of the equation. 18 + -18 + -2x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 8 + -18 -2x = 8 + -18 Combine like terms: 8 + -18 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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