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Simplifying -5(x + 1) + 17 = 6x + -10 Reorder the terms: -5(1 + x) + 17 = 6x + -10 (1 * -5 + x * -5) + 17 = 6x + -10 (-5 + -5x) + 17 = 6x + -10 Reorder the terms: -5 + 17 + -5x = 6x + -10 Combine like terms: -5 + 17 = 12 12 + -5x = 6x + -10 Reorder the terms: 12 + -5x = -10 + 6x Solving 12 + -5x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -5x + -6x = -10 + 6x + -6x Combine like terms: -5x + -6x = -11x 12 + -11x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -11x = -10 + 0 12 + -11x = -10 Add '-12' to each side of the equation. 12 + -12 + -11x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -10 + -12 -11x = -10 + -12 Combine like terms: -10 + -12 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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