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Simplifying 4x + -5 + 3x + -7 = 4x + 2 + -3x + 6 Reorder the terms: -5 + -7 + 4x + 3x = 4x + 2 + -3x + 6 Combine like terms: -5 + -7 = -12 -12 + 4x + 3x = 4x + 2 + -3x + 6 Combine like terms: 4x + 3x = 7x -12 + 7x = 4x + 2 + -3x + 6 Reorder the terms: -12 + 7x = 2 + 6 + 4x + -3x Combine like terms: 2 + 6 = 8 -12 + 7x = 8 + 4x + -3x Combine like terms: 4x + -3x = 1x -12 + 7x = 8 + 1x Solving -12 + 7x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 7x + -1x = 8 + 1x + -1x Combine like terms: 7x + -1x = 6x -12 + 6x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 6x = 8 + 0 -12 + 6x = 8 Add '12' to each side of the equation. -12 + 12 + 6x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 8 + 12 6x = 8 + 12 Combine like terms: 8 + 12 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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