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Simplifying 5(1 + -2x) + -6 = -3(7x + -7) (1 * 5 + -2x * 5) + -6 = -3(7x + -7) (5 + -10x) + -6 = -3(7x + -7) Reorder the terms: 5 + -6 + -10x = -3(7x + -7) Combine like terms: 5 + -6 = -1 -1 + -10x = -3(7x + -7) Reorder the terms: -1 + -10x = -3(-7 + 7x) -1 + -10x = (-7 * -3 + 7x * -3) -1 + -10x = (21 + -21x) Solving -1 + -10x = 21 + -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. -1 + -10x + 21x = 21 + -21x + 21x Combine like terms: -10x + 21x = 11x -1 + 11x = 21 + -21x + 21x Combine like terms: -21x + 21x = 0 -1 + 11x = 21 + 0 -1 + 11x = 21 Add '1' to each side of the equation. -1 + 1 + 11x = 21 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 21 + 1 11x = 21 + 1 Combine like terms: 21 + 1 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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