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Simplifying 6x + 5 + -7x = 10 + -4x + 7 Reorder the terms: 5 + 6x + -7x = 10 + -4x + 7 Combine like terms: 6x + -7x = -1x 5 + -1x = 10 + -4x + 7 Reorder the terms: 5 + -1x = 10 + 7 + -4x Combine like terms: 10 + 7 = 17 5 + -1x = 17 + -4x Solving 5 + -1x = 17 + -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. 5 + -1x + 4x = 17 + -4x + 4x Combine like terms: -1x + 4x = 3x 5 + 3x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 3x = 17 + 0 5 + 3x = 17 Add '-5' to each side of the equation. 5 + -5 + 3x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 17 + -5 3x = 17 + -5 Combine like terms: 17 + -5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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