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Simplifying -4 + -2x = -8 + 7(6 + -3x) -4 + -2x = -8 + (6 * 7 + -3x * 7) -4 + -2x = -8 + (42 + -21x) Combine like terms: -8 + 42 = 34 -4 + -2x = 34 + -21x Solving -4 + -2x = 34 + -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. -4 + -2x + 21x = 34 + -21x + 21x Combine like terms: -2x + 21x = 19x -4 + 19x = 34 + -21x + 21x Combine like terms: -21x + 21x = 0 -4 + 19x = 34 + 0 -4 + 19x = 34 Add '4' to each side of the equation. -4 + 4 + 19x = 34 + 4 Combine like terms: -4 + 4 = 0 0 + 19x = 34 + 4 19x = 34 + 4 Combine like terms: 34 + 4 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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