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Simplifying 7(3x + -4) + 2 = 4x + 3 Reorder the terms: 7(-4 + 3x) + 2 = 4x + 3 (-4 * 7 + 3x * 7) + 2 = 4x + 3 (-28 + 21x) + 2 = 4x + 3 Reorder the terms: -28 + 2 + 21x = 4x + 3 Combine like terms: -28 + 2 = -26 -26 + 21x = 4x + 3 Reorder the terms: -26 + 21x = 3 + 4x Solving -26 + 21x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 21x + -4x = 3 + 4x + -4x Combine like terms: 21x + -4x = 17x -26 + 17x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 17x = 3 + 0 -26 + 17x = 3 Add '26' to each side of the equation. -26 + 26 + 17x = 3 + 26 Combine like terms: -26 + 26 = 0 0 + 17x = 3 + 26 17x = 3 + 26 Combine like terms: 3 + 26 = 29 17x = 29 Divide each side by '17'. x = 1.705882353 Simplifying x = 1.705882353
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