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Simplifying 5x + 2(x + -1) + -6x + 3 = 4 + -17 Reorder the terms: 5x + 2(-1 + x) + -6x + 3 = 4 + -17 5x + (-1 * 2 + x * 2) + -6x + 3 = 4 + -17 5x + (-2 + 2x) + -6x + 3 = 4 + -17 Reorder the terms: -2 + 3 + 5x + 2x + -6x = 4 + -17 Combine like terms: -2 + 3 = 1 1 + 5x + 2x + -6x = 4 + -17 Combine like terms: 5x + 2x = 7x 1 + 7x + -6x = 4 + -17 Combine like terms: 7x + -6x = 1x 1 + 1x = 4 + -17 Combine like terms: 4 + -17 = -13 1 + 1x = -13 Solving 1 + 1x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -13 + -1 1x = -13 + -1 Combine like terms: -13 + -1 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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