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Simplifying 10x + -12 + -8x = -4(x + -6) Reorder the terms: -12 + 10x + -8x = -4(x + -6) Combine like terms: 10x + -8x = 2x -12 + 2x = -4(x + -6) Reorder the terms: -12 + 2x = -4(-6 + x) -12 + 2x = (-6 * -4 + x * -4) -12 + 2x = (24 + -4x) Solving -12 + 2x = 24 + -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. -12 + 2x + 4x = 24 + -4x + 4x Combine like terms: 2x + 4x = 6x -12 + 6x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 6x = 24 + 0 -12 + 6x = 24 Add '12' to each side of the equation. -12 + 12 + 6x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 24 + 12 6x = 24 + 12 Combine like terms: 24 + 12 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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