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Simplifying -6(x + 1) + 4 = -17 + -1x Reorder the terms: -6(1 + x) + 4 = -17 + -1x (1 * -6 + x * -6) + 4 = -17 + -1x (-6 + -6x) + 4 = -17 + -1x Reorder the terms: -6 + 4 + -6x = -17 + -1x Combine like terms: -6 + 4 = -2 -2 + -6x = -17 + -1x Solving -2 + -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. -2 + -6x + x = -17 + -1x + x Combine like terms: -6x + x = -5x -2 + -5x = -17 + -1x + x Combine like terms: -1x + x = 0 -2 + -5x = -17 + 0 -2 + -5x = -17 Add '2' to each side of the equation. -2 + 2 + -5x = -17 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -17 + 2 -5x = -17 + 2 Combine like terms: -17 + 2 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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