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Simplifying 4(x + 5) + -6 = x + 17 Reorder the terms: 4(5 + x) + -6 = x + 17 (5 * 4 + x * 4) + -6 = x + 17 (20 + 4x) + -6 = x + 17 Reorder the terms: 20 + -6 + 4x = x + 17 Combine like terms: 20 + -6 = 14 14 + 4x = x + 17 Reorder the terms: 14 + 4x = 17 + x Solving 14 + 4x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 4x + -1x = 17 + x + -1x Combine like terms: 4x + -1x = 3x 14 + 3x = 17 + x + -1x Combine like terms: x + -1x = 0 14 + 3x = 17 + 0 14 + 3x = 17 Add '-14' to each side of the equation. 14 + -14 + 3x = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 17 + -14 3x = 17 + -14 Combine like terms: 17 + -14 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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