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Simplifying 3(x + 5) + 1 = 2(x + 5) + 4 Reorder the terms: 3(5 + x) + 1 = 2(x + 5) + 4 (5 * 3 + x * 3) + 1 = 2(x + 5) + 4 (15 + 3x) + 1 = 2(x + 5) + 4 Reorder the terms: 15 + 1 + 3x = 2(x + 5) + 4 Combine like terms: 15 + 1 = 16 16 + 3x = 2(x + 5) + 4 Reorder the terms: 16 + 3x = 2(5 + x) + 4 16 + 3x = (5 * 2 + x * 2) + 4 16 + 3x = (10 + 2x) + 4 Reorder the terms: 16 + 3x = 10 + 4 + 2x Combine like terms: 10 + 4 = 14 16 + 3x = 14 + 2x Solving 16 + 3x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 3x + -2x = 14 + 2x + -2x Combine like terms: 3x + -2x = 1x 16 + 1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 1x = 14 + 0 16 + 1x = 14 Add '-16' to each side of the equation. 16 + -16 + 1x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 14 + -16 1x = 14 + -16 Combine like terms: 14 + -16 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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