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Simplifying 6(7x + 8) = 40x + -50 Reorder the terms: 6(8 + 7x) = 40x + -50 (8 * 6 + 7x * 6) = 40x + -50 (48 + 42x) = 40x + -50 Reorder the terms: 48 + 42x = -50 + 40x Solving 48 + 42x = -50 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 48 + 42x + -40x = -50 + 40x + -40x Combine like terms: 42x + -40x = 2x 48 + 2x = -50 + 40x + -40x Combine like terms: 40x + -40x = 0 48 + 2x = -50 + 0 48 + 2x = -50 Add '-48' to each side of the equation. 48 + -48 + 2x = -50 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = -50 + -48 2x = -50 + -48 Combine like terms: -50 + -48 = -98 2x = -98 Divide each side by '2'. x = -49 Simplifying x = -49
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