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Simplifying 6(x + 7) + -17 = -2x + -3(5 + -1x) Reorder the terms: 6(7 + x) + -17 = -2x + -3(5 + -1x) (7 * 6 + x * 6) + -17 = -2x + -3(5 + -1x) (42 + 6x) + -17 = -2x + -3(5 + -1x) Reorder the terms: 42 + -17 + 6x = -2x + -3(5 + -1x) Combine like terms: 42 + -17 = 25 25 + 6x = -2x + -3(5 + -1x) 25 + 6x = -2x + (5 * -3 + -1x * -3) 25 + 6x = -2x + (-15 + 3x) Reorder the terms: 25 + 6x = -15 + -2x + 3x Combine like terms: -2x + 3x = 1x 25 + 6x = -15 + 1x Solving 25 + 6x = -15 + 1x 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. 25 + 6x + -1x = -15 + 1x + -1x Combine like terms: 6x + -1x = 5x 25 + 5x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 25 + 5x = -15 + 0 25 + 5x = -15 Add '-25' to each side of the equation. 25 + -25 + 5x = -15 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = -15 + -25 5x = -15 + -25 Combine like terms: -15 + -25 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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