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Simplifying -1x + 17 = 4(x + -4) + -2 Reorder the terms: 17 + -1x = 4(x + -4) + -2 Reorder the terms: 17 + -1x = 4(-4 + x) + -2 17 + -1x = (-4 * 4 + x * 4) + -2 17 + -1x = (-16 + 4x) + -2 Reorder the terms: 17 + -1x = -16 + -2 + 4x Combine like terms: -16 + -2 = -18 17 + -1x = -18 + 4x Solving 17 + -1x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + -1x + -4x = -18 + 4x + -4x Combine like terms: -1x + -4x = -5x 17 + -5x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -5x = -18 + 0 17 + -5x = -18 Add '-17' to each side of the equation. 17 + -17 + -5x = -18 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -18 + -17 -5x = -18 + -17 Combine like terms: -18 + -17 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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