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Simplifying 7(6x + 8) = 24 + -1(6x + 8) Reorder the terms: 7(8 + 6x) = 24 + -1(6x + 8) (8 * 7 + 6x * 7) = 24 + -1(6x + 8) (56 + 42x) = 24 + -1(6x + 8) Reorder the terms: 56 + 42x = 24 + -1(8 + 6x) 56 + 42x = 24 + (8 * -1 + 6x * -1) 56 + 42x = 24 + (-8 + -6x) Combine like terms: 24 + -8 = 16 56 + 42x = 16 + -6x Solving 56 + 42x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 56 + 42x + 6x = 16 + -6x + 6x Combine like terms: 42x + 6x = 48x 56 + 48x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 56 + 48x = 16 + 0 56 + 48x = 16 Add '-56' to each side of the equation. 56 + -56 + 48x = 16 + -56 Combine like terms: 56 + -56 = 0 0 + 48x = 16 + -56 48x = 16 + -56 Combine like terms: 16 + -56 = -40 48x = -40 Divide each side by '48'. x = -0.8333333333 Simplifying x = -0.8333333333
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