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Simplifying 4(x + 1) = -17 + 7x Reorder the terms: 4(1 + x) = -17 + 7x (1 * 4 + x * 4) = -17 + 7x (4 + 4x) = -17 + 7x Solving 4 + 4x = -17 + 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. 4 + 4x + -7x = -17 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = -17 + 0 4 + -3x = -17 Add '-4' to each side of the equation. 4 + -4 + -3x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -17 + -4 -3x = -17 + -4 Combine like terms: -17 + -4 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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