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Simplifying 2x + 3(x + 5) = 4x + 18 Reorder the terms: 2x + 3(5 + x) = 4x + 18 2x + (5 * 3 + x * 3) = 4x + 18 2x + (15 + 3x) = 4x + 18 Reorder the terms: 15 + 2x + 3x = 4x + 18 Combine like terms: 2x + 3x = 5x 15 + 5x = 4x + 18 Reorder the terms: 15 + 5x = 18 + 4x Solving 15 + 5x = 18 + 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. 15 + 5x + -4x = 18 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = 18 + 0 15 + 1x = 18 Add '-15' to each side of the equation. 15 + -15 + 1x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 18 + -15 1x = 18 + -15 Combine like terms: 18 + -15 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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