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Simplifying -4x + -12 + 10x + -8 = 4x + 8 + -7 + -6x Reorder the terms: -12 + -8 + -4x + 10x = 4x + 8 + -7 + -6x Combine like terms: -12 + -8 = -20 -20 + -4x + 10x = 4x + 8 + -7 + -6x Combine like terms: -4x + 10x = 6x -20 + 6x = 4x + 8 + -7 + -6x Reorder the terms: -20 + 6x = 8 + -7 + 4x + -6x Combine like terms: 8 + -7 = 1 -20 + 6x = 1 + 4x + -6x Combine like terms: 4x + -6x = -2x -20 + 6x = 1 + -2x Solving -20 + 6x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 6x + 2x = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x -20 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 8x = 1 + 0 -20 + 8x = 1 Add '20' to each side of the equation. -20 + 20 + 8x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 1 + 20 8x = 1 + 20 Combine like terms: 1 + 20 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625
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