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Simplifying 4(2x + 8) + 1 = 3(7x + -14x + 2) Reorder the terms: 4(8 + 2x) + 1 = 3(7x + -14x + 2) (8 * 4 + 2x * 4) + 1 = 3(7x + -14x + 2) (32 + 8x) + 1 = 3(7x + -14x + 2) Reorder the terms: 32 + 1 + 8x = 3(7x + -14x + 2) Combine like terms: 32 + 1 = 33 33 + 8x = 3(7x + -14x + 2) Reorder the terms: 33 + 8x = 3(2 + 7x + -14x) Combine like terms: 7x + -14x = -7x 33 + 8x = 3(2 + -7x) 33 + 8x = (2 * 3 + -7x * 3) 33 + 8x = (6 + -21x) Solving 33 + 8x = 6 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 33 + 8x + 21x = 6 + -21x + 21x Combine like terms: 8x + 21x = 29x 33 + 29x = 6 + -21x + 21x Combine like terms: -21x + 21x = 0 33 + 29x = 6 + 0 33 + 29x = 6 Add '-33' to each side of the equation. 33 + -33 + 29x = 6 + -33 Combine like terms: 33 + -33 = 0 0 + 29x = 6 + -33 29x = 6 + -33 Combine like terms: 6 + -33 = -27 29x = -27 Divide each side by '29'. x = -0.9310344828 Simplifying x = -0.9310344828
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