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Simplifying 2(x + -1) = 7(3x + -3) Reorder the terms: 2(-1 + x) = 7(3x + -3) (-1 * 2 + x * 2) = 7(3x + -3) (-2 + 2x) = 7(3x + -3) Reorder the terms: -2 + 2x = 7(-3 + 3x) -2 + 2x = (-3 * 7 + 3x * 7) -2 + 2x = (-21 + 21x) Solving -2 + 2x = -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. -2 + 2x + -21x = -21 + 21x + -21x Combine like terms: 2x + -21x = -19x -2 + -19x = -21 + 21x + -21x Combine like terms: 21x + -21x = 0 -2 + -19x = -21 + 0 -2 + -19x = -21 Add '2' to each side of the equation. -2 + 2 + -19x = -21 + 2 Combine like terms: -2 + 2 = 0 0 + -19x = -21 + 2 -19x = -21 + 2 Combine like terms: -21 + 2 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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