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Simplifying 2x + -3(x + 5) = 7(3x + 1) Reorder the terms: 2x + -3(5 + x) = 7(3x + 1) 2x + (5 * -3 + x * -3) = 7(3x + 1) 2x + (-15 + -3x) = 7(3x + 1) Reorder the terms: -15 + 2x + -3x = 7(3x + 1) Combine like terms: 2x + -3x = -1x -15 + -1x = 7(3x + 1) Reorder the terms: -15 + -1x = 7(1 + 3x) -15 + -1x = (1 * 7 + 3x * 7) -15 + -1x = (7 + 21x) Solving -15 + -1x = 7 + 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. -15 + -1x + -21x = 7 + 21x + -21x Combine like terms: -1x + -21x = -22x -15 + -22x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 -15 + -22x = 7 + 0 -15 + -22x = 7 Add '15' to each side of the equation. -15 + 15 + -22x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -22x = 7 + 15 -22x = 7 + 15 Combine like terms: 7 + 15 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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