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Simplifying 4x + 18 = 7(x + 33) Reorder the terms: 18 + 4x = 7(x + 33) Reorder the terms: 18 + 4x = 7(33 + x) 18 + 4x = (33 * 7 + x * 7) 18 + 4x = (231 + 7x) Solving 18 + 4x = 231 + 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. 18 + 4x + -7x = 231 + 7x + -7x Combine like terms: 4x + -7x = -3x 18 + -3x = 231 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -3x = 231 + 0 18 + -3x = 231 Add '-18' to each side of the equation. 18 + -18 + -3x = 231 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 231 + -18 -3x = 231 + -18 Combine like terms: 231 + -18 = 213 -3x = 213 Divide each side by '-3'. x = -71 Simplifying x = -71
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