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Simplifying 6(x + -6) + 4x + -8 = 4(x + -8) + 12x Reorder the terms: 6(-6 + x) + 4x + -8 = 4(x + -8) + 12x (-6 * 6 + x * 6) + 4x + -8 = 4(x + -8) + 12x (-36 + 6x) + 4x + -8 = 4(x + -8) + 12x Reorder the terms: -36 + -8 + 6x + 4x = 4(x + -8) + 12x Combine like terms: -36 + -8 = -44 -44 + 6x + 4x = 4(x + -8) + 12x Combine like terms: 6x + 4x = 10x -44 + 10x = 4(x + -8) + 12x Reorder the terms: -44 + 10x = 4(-8 + x) + 12x -44 + 10x = (-8 * 4 + x * 4) + 12x -44 + 10x = (-32 + 4x) + 12x Combine like terms: 4x + 12x = 16x -44 + 10x = -32 + 16x Solving -44 + 10x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -44 + 10x + -16x = -32 + 16x + -16x Combine like terms: 10x + -16x = -6x -44 + -6x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 -44 + -6x = -32 + 0 -44 + -6x = -32 Add '44' to each side of the equation. -44 + 44 + -6x = -32 + 44 Combine like terms: -44 + 44 = 0 0 + -6x = -32 + 44 -6x = -32 + 44 Combine like terms: -32 + 44 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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