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Simplifying 2(x + -4) + -8 = 6(x + 2) + 4 Reorder the terms: 2(-4 + x) + -8 = 6(x + 2) + 4 (-4 * 2 + x * 2) + -8 = 6(x + 2) + 4 (-8 + 2x) + -8 = 6(x + 2) + 4 Reorder the terms: -8 + -8 + 2x = 6(x + 2) + 4 Combine like terms: -8 + -8 = -16 -16 + 2x = 6(x + 2) + 4 Reorder the terms: -16 + 2x = 6(2 + x) + 4 -16 + 2x = (2 * 6 + x * 6) + 4 -16 + 2x = (12 + 6x) + 4 Reorder the terms: -16 + 2x = 12 + 4 + 6x Combine like terms: 12 + 4 = 16 -16 + 2x = 16 + 6x Solving -16 + 2x = 16 + 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. -16 + 2x + -6x = 16 + 6x + -6x Combine like terms: 2x + -6x = -4x -16 + -4x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -4x = 16 + 0 -16 + -4x = 16 Add '16' to each side of the equation. -16 + 16 + -4x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 16 + 16 -4x = 16 + 16 Combine like terms: 16 + 16 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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