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Simplifying 5(x + 3) = 4(x + 2) Reorder the terms: 5(3 + x) = 4(x + 2) (3 * 5 + x * 5) = 4(x + 2) (15 + 5x) = 4(x + 2) Reorder the terms: 15 + 5x = 4(2 + x) 15 + 5x = (2 * 4 + x * 4) 15 + 5x = (8 + 4x) Solving 15 + 5x = 8 + 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 = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = 8 + 0 15 + 1x = 8 Add '-15' to each side of the equation. 15 + -15 + 1x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 8 + -15 1x = 8 + -15 Combine like terms: 8 + -15 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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