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Simplifying 14(x + -2) + 3(x + 5) = 3(x + 8) + 5 Reorder the terms: 14(-2 + x) + 3(x + 5) = 3(x + 8) + 5 (-2 * 14 + x * 14) + 3(x + 5) = 3(x + 8) + 5 (-28 + 14x) + 3(x + 5) = 3(x + 8) + 5 Reorder the terms: -28 + 14x + 3(5 + x) = 3(x + 8) + 5 -28 + 14x + (5 * 3 + x * 3) = 3(x + 8) + 5 -28 + 14x + (15 + 3x) = 3(x + 8) + 5 Reorder the terms: -28 + 15 + 14x + 3x = 3(x + 8) + 5 Combine like terms: -28 + 15 = -13 -13 + 14x + 3x = 3(x + 8) + 5 Combine like terms: 14x + 3x = 17x -13 + 17x = 3(x + 8) + 5 Reorder the terms: -13 + 17x = 3(8 + x) + 5 -13 + 17x = (8 * 3 + x * 3) + 5 -13 + 17x = (24 + 3x) + 5 Reorder the terms: -13 + 17x = 24 + 5 + 3x Combine like terms: 24 + 5 = 29 -13 + 17x = 29 + 3x Solving -13 + 17x = 29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 17x + -3x = 29 + 3x + -3x Combine like terms: 17x + -3x = 14x -13 + 14x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 14x = 29 + 0 -13 + 14x = 29 Add '13' to each side of the equation. -13 + 13 + 14x = 29 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 29 + 13 14x = 29 + 13 Combine like terms: 29 + 13 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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