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Simplifying -5(3 + 2x) + 1 = -7(3x + 2) (3 * -5 + 2x * -5) + 1 = -7(3x + 2) (-15 + -10x) + 1 = -7(3x + 2) Reorder the terms: -15 + 1 + -10x = -7(3x + 2) Combine like terms: -15 + 1 = -14 -14 + -10x = -7(3x + 2) Reorder the terms: -14 + -10x = -7(2 + 3x) -14 + -10x = (2 * -7 + 3x * -7) -14 + -10x = (-14 + -21x) Add '14' to each side of the equation. -14 + 14 + -10x = -14 + 14 + -21x Combine like terms: -14 + 14 = 0 0 + -10x = -14 + 14 + -21x -10x = -14 + 14 + -21x Combine like terms: -14 + 14 = 0 -10x = 0 + -21x -10x = -21x Solving -10x = -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. -10x + 21x = -21x + 21x Combine like terms: -10x + 21x = 11x 11x = -21x + 21x Combine like terms: -21x + 21x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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