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Simplifying 2x + -5 = 7(3x + 4) + 5 Reorder the terms: -5 + 2x = 7(3x + 4) + 5 Reorder the terms: -5 + 2x = 7(4 + 3x) + 5 -5 + 2x = (4 * 7 + 3x * 7) + 5 -5 + 2x = (28 + 21x) + 5 Reorder the terms: -5 + 2x = 28 + 5 + 21x Combine like terms: 28 + 5 = 33 -5 + 2x = 33 + 21x Solving -5 + 2x = 33 + 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. -5 + 2x + -21x = 33 + 21x + -21x Combine like terms: 2x + -21x = -19x -5 + -19x = 33 + 21x + -21x Combine like terms: 21x + -21x = 0 -5 + -19x = 33 + 0 -5 + -19x = 33 Add '5' to each side of the equation. -5 + 5 + -19x = 33 + 5 Combine like terms: -5 + 5 = 0 0 + -19x = 33 + 5 -19x = 33 + 5 Combine like terms: 33 + 5 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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