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Simplifying 5(x + 3) + x = 4(x + 4) + 4 Reorder the terms: 5(3 + x) + x = 4(x + 4) + 4 (3 * 5 + x * 5) + x = 4(x + 4) + 4 (15 + 5x) + x = 4(x + 4) + 4 Combine like terms: 5x + x = 6x 15 + 6x = 4(x + 4) + 4 Reorder the terms: 15 + 6x = 4(4 + x) + 4 15 + 6x = (4 * 4 + x * 4) + 4 15 + 6x = (16 + 4x) + 4 Reorder the terms: 15 + 6x = 16 + 4 + 4x Combine like terms: 16 + 4 = 20 15 + 6x = 20 + 4x Solving 15 + 6x = 20 + 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 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x 15 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 2x = 20 + 0 15 + 2x = 20 Add '-15' to each side of the equation. 15 + -15 + 2x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 20 + -15 2x = 20 + -15 Combine like terms: 20 + -15 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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