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Simplifying 2x + 3x + -5 + -7 = 10x + 3 + -6x + -4 Reorder the terms: -5 + -7 + 2x + 3x = 10x + 3 + -6x + -4 Combine like terms: -5 + -7 = -12 -12 + 2x + 3x = 10x + 3 + -6x + -4 Combine like terms: 2x + 3x = 5x -12 + 5x = 10x + 3 + -6x + -4 Reorder the terms: -12 + 5x = 3 + -4 + 10x + -6x Combine like terms: 3 + -4 = -1 -12 + 5x = -1 + 10x + -6x Combine like terms: 10x + -6x = 4x -12 + 5x = -1 + 4x Solving -12 + 5x = -1 + 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 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = -1 + 0 -12 + 1x = -1 Add '12' to each side of the equation. -12 + 12 + 1x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -1 + 12 1x = -1 + 12 Combine like terms: -1 + 12 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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