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Simplifying 2(4x + 8) + 3(2x + 1) = 5(3 + x) + -5 Reorder the terms: 2(8 + 4x) + 3(2x + 1) = 5(3 + x) + -5 (8 * 2 + 4x * 2) + 3(2x + 1) = 5(3 + x) + -5 (16 + 8x) + 3(2x + 1) = 5(3 + x) + -5 Reorder the terms: 16 + 8x + 3(1 + 2x) = 5(3 + x) + -5 16 + 8x + (1 * 3 + 2x * 3) = 5(3 + x) + -5 16 + 8x + (3 + 6x) = 5(3 + x) + -5 Reorder the terms: 16 + 3 + 8x + 6x = 5(3 + x) + -5 Combine like terms: 16 + 3 = 19 19 + 8x + 6x = 5(3 + x) + -5 Combine like terms: 8x + 6x = 14x 19 + 14x = 5(3 + x) + -5 19 + 14x = (3 * 5 + x * 5) + -5 19 + 14x = (15 + 5x) + -5 Reorder the terms: 19 + 14x = 15 + -5 + 5x Combine like terms: 15 + -5 = 10 19 + 14x = 10 + 5x Solving 19 + 14x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + 14x + -5x = 10 + 5x + -5x Combine like terms: 14x + -5x = 9x 19 + 9x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + 9x = 10 + 0 19 + 9x = 10 Add '-19' to each side of the equation. 19 + -19 + 9x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 10 + -19 9x = 10 + -19 Combine like terms: 10 + -19 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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