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Simplifying 6x + 13 = -1(x + -17) Reorder the terms: 13 + 6x = -1(x + -17) Reorder the terms: 13 + 6x = -1(-17 + x) 13 + 6x = (-17 * -1 + x * -1) 13 + 6x = (17 + -1x) Solving 13 + 6x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13 + 6x + x = 17 + -1x + x Combine like terms: 6x + x = 7x 13 + 7x = 17 + -1x + x Combine like terms: -1x + x = 0 13 + 7x = 17 + 0 13 + 7x = 17 Add '-13' to each side of the equation. 13 + -13 + 7x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 17 + -13 7x = 17 + -13 Combine like terms: 17 + -13 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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