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Simplifying -1 + 7(x + 3) = 4x + 17 Reorder the terms: -1 + 7(3 + x) = 4x + 17 -1 + (3 * 7 + x * 7) = 4x + 17 -1 + (21 + 7x) = 4x + 17 Combine like terms: -1 + 21 = 20 20 + 7x = 4x + 17 Reorder the terms: 20 + 7x = 17 + 4x Solving 20 + 7x = 17 + 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. 20 + 7x + -4x = 17 + 4x + -4x Combine like terms: 7x + -4x = 3x 20 + 3x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 3x = 17 + 0 20 + 3x = 17 Add '-20' to each side of the equation. 20 + -20 + 3x = 17 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 17 + -20 3x = 17 + -20 Combine like terms: 17 + -20 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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