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Simplifying 6 + -4(x + -1) + 7 = x + 2 Reorder the terms: 6 + -4(-1 + x) + 7 = x + 2 6 + (-1 * -4 + x * -4) + 7 = x + 2 6 + (4 + -4x) + 7 = x + 2 Reorder the terms: 6 + 4 + 7 + -4x = x + 2 Combine like terms: 6 + 4 = 10 10 + 7 + -4x = x + 2 Combine like terms: 10 + 7 = 17 17 + -4x = x + 2 Reorder the terms: 17 + -4x = 2 + x Solving 17 + -4x = 2 + x 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. 17 + -4x + -1x = 2 + x + -1x Combine like terms: -4x + -1x = -5x 17 + -5x = 2 + x + -1x Combine like terms: x + -1x = 0 17 + -5x = 2 + 0 17 + -5x = 2 Add '-17' to each side of the equation. 17 + -17 + -5x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 2 + -17 -5x = 2 + -17 Combine like terms: 2 + -17 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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