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Simplifying 4(x + -6) + 8 = 10x + 8 + 2x Reorder the terms: 4(-6 + x) + 8 = 10x + 8 + 2x (-6 * 4 + x * 4) + 8 = 10x + 8 + 2x (-24 + 4x) + 8 = 10x + 8 + 2x Reorder the terms: -24 + 8 + 4x = 10x + 8 + 2x Combine like terms: -24 + 8 = -16 -16 + 4x = 10x + 8 + 2x Reorder the terms: -16 + 4x = 8 + 10x + 2x Combine like terms: 10x + 2x = 12x -16 + 4x = 8 + 12x Solving -16 + 4x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + 4x + -12x = 8 + 12x + -12x Combine like terms: 4x + -12x = -8x -16 + -8x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -8x = 8 + 0 -16 + -8x = 8 Add '16' to each side of the equation. -16 + 16 + -8x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 8 + 16 -8x = 8 + 16 Combine like terms: 8 + 16 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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