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Simplifying 3x + 17 = 7(x + -1) Reorder the terms: 17 + 3x = 7(x + -1) Reorder the terms: 17 + 3x = 7(-1 + x) 17 + 3x = (-1 * 7 + x * 7) 17 + 3x = (-7 + 7x) Solving 17 + 3x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 3x + -7x = -7 + 7x + -7x Combine like terms: 3x + -7x = -4x 17 + -4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -4x = -7 + 0 17 + -4x = -7 Add '-17' to each side of the equation. 17 + -17 + -4x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -7 + -17 -4x = -7 + -17 Combine like terms: -7 + -17 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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