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Simplifying 2(x + -4) + 6 + -8x = 10 + 6x Reorder the terms: 2(-4 + x) + 6 + -8x = 10 + 6x (-4 * 2 + x * 2) + 6 + -8x = 10 + 6x (-8 + 2x) + 6 + -8x = 10 + 6x Reorder the terms: -8 + 6 + 2x + -8x = 10 + 6x Combine like terms: -8 + 6 = -2 -2 + 2x + -8x = 10 + 6x Combine like terms: 2x + -8x = -6x -2 + -6x = 10 + 6x Solving -2 + -6x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -6x + -6x = 10 + 6x + -6x Combine like terms: -6x + -6x = -12x -2 + -12x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -12x = 10 + 0 -2 + -12x = 10 Add '2' to each side of the equation. -2 + 2 + -12x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 10 + 2 -12x = 10 + 2 Combine like terms: 10 + 2 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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