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Simplifying 7(3 + -1x) = 8(-4 + -2x) (3 * 7 + -1x * 7) = 8(-4 + -2x) (21 + -7x) = 8(-4 + -2x) 21 + -7x = (-4 * 8 + -2x * 8) 21 + -7x = (-32 + -16x) Solving 21 + -7x = -32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 21 + -7x + 16x = -32 + -16x + 16x Combine like terms: -7x + 16x = 9x 21 + 9x = -32 + -16x + 16x Combine like terms: -16x + 16x = 0 21 + 9x = -32 + 0 21 + 9x = -32 Add '-21' to each side of the equation. 21 + -21 + 9x = -32 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = -32 + -21 9x = -32 + -21 Combine like terms: -32 + -21 = -53 9x = -53 Divide each side by '9'. x = -5.888888889 Simplifying x = -5.888888889
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