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Simplifying 7(x + 2) + 3(x + 5) = 14(x + 1) + 2 Reorder the terms: 7(2 + x) + 3(x + 5) = 14(x + 1) + 2 (2 * 7 + x * 7) + 3(x + 5) = 14(x + 1) + 2 (14 + 7x) + 3(x + 5) = 14(x + 1) + 2 Reorder the terms: 14 + 7x + 3(5 + x) = 14(x + 1) + 2 14 + 7x + (5 * 3 + x * 3) = 14(x + 1) + 2 14 + 7x + (15 + 3x) = 14(x + 1) + 2 Reorder the terms: 14 + 15 + 7x + 3x = 14(x + 1) + 2 Combine like terms: 14 + 15 = 29 29 + 7x + 3x = 14(x + 1) + 2 Combine like terms: 7x + 3x = 10x 29 + 10x = 14(x + 1) + 2 Reorder the terms: 29 + 10x = 14(1 + x) + 2 29 + 10x = (1 * 14 + x * 14) + 2 29 + 10x = (14 + 14x) + 2 Reorder the terms: 29 + 10x = 14 + 2 + 14x Combine like terms: 14 + 2 = 16 29 + 10x = 16 + 14x Solving 29 + 10x = 16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 29 + 10x + -14x = 16 + 14x + -14x Combine like terms: 10x + -14x = -4x 29 + -4x = 16 + 14x + -14x Combine like terms: 14x + -14x = 0 29 + -4x = 16 + 0 29 + -4x = 16 Add '-29' to each side of the equation. 29 + -29 + -4x = 16 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = 16 + -29 -4x = 16 + -29 Combine like terms: 16 + -29 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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