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Simplifying 2x + -5(x + 3) = 3(7x + -1) Reorder the terms: 2x + -5(3 + x) = 3(7x + -1) 2x + (3 * -5 + x * -5) = 3(7x + -1) 2x + (-15 + -5x) = 3(7x + -1) Reorder the terms: -15 + 2x + -5x = 3(7x + -1) Combine like terms: 2x + -5x = -3x -15 + -3x = 3(7x + -1) Reorder the terms: -15 + -3x = 3(-1 + 7x) -15 + -3x = (-1 * 3 + 7x * 3) -15 + -3x = (-3 + 21x) Solving -15 + -3x = -3 + 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 + -3x + -21x = -3 + 21x + -21x Combine like terms: -3x + -21x = -24x -15 + -24x = -3 + 21x + -21x Combine like terms: 21x + -21x = 0 -15 + -24x = -3 + 0 -15 + -24x = -3 Add '15' to each side of the equation. -15 + 15 + -24x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -24x = -3 + 15 -24x = -3 + 15 Combine like terms: -3 + 15 = 12 -24x = 12 Divide each side by '-24'. x = -0.5 Simplifying x = -0.5
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