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Simplifying 4(x + 24) = 3(x + 38) Reorder the terms: 4(24 + x) = 3(x + 38) (24 * 4 + x * 4) = 3(x + 38) (96 + 4x) = 3(x + 38) Reorder the terms: 96 + 4x = 3(38 + x) 96 + 4x = (38 * 3 + x * 3) 96 + 4x = (114 + 3x) Solving 96 + 4x = 114 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 96 + 4x + -3x = 114 + 3x + -3x Combine like terms: 4x + -3x = 1x 96 + 1x = 114 + 3x + -3x Combine like terms: 3x + -3x = 0 96 + 1x = 114 + 0 96 + 1x = 114 Add '-96' to each side of the equation. 96 + -96 + 1x = 114 + -96 Combine like terms: 96 + -96 = 0 0 + 1x = 114 + -96 1x = 114 + -96 Combine like terms: 114 + -96 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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