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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 = -13x 33 + -13x = -6 + 21x + -21x Combine like terms: 21x + -21x = 0 33 + -13x = -6 + 0 33 + -13x = -6 Add '-33' to each side of the equation. 33 + -33 + -13x = -6 + -33 Combine like terms: 33 + -33 = 0 0 + -13x = -6 + -33 -13x = -6 + -33 Combine like terms: -6 + -33 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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