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