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Simplifying 3(x + 22) = 4(x + 13) Reorder the terms: 3(22 + x) = 4(x + 13) (22 * 3 + x * 3) = 4(x + 13) (66 + 3x) = 4(x + 13) Reorder the terms: 66 + 3x = 4(13 + x) 66 + 3x = (13 * 4 + x * 4) 66 + 3x = (52 + 4x) Solving 66 + 3x = 52 + 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. 66 + 3x + -4x = 52 + 4x + -4x Combine like terms: 3x + -4x = -1x 66 + -1x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 66 + -1x = 52 + 0 66 + -1x = 52 Add '-66' to each side of the equation. 66 + -66 + -1x = 52 + -66 Combine like terms: 66 + -66 = 0 0 + -1x = 52 + -66 -1x = 52 + -66 Combine like terms: 52 + -66 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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