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Simplifying 6(8x + 9) + 1 = -170 + -3(-7x + -3) Reorder the terms: 6(9 + 8x) + 1 = -170 + -3(-7x + -3) (9 * 6 + 8x * 6) + 1 = -170 + -3(-7x + -3) (54 + 48x) + 1 = -170 + -3(-7x + -3) Reorder the terms: 54 + 1 + 48x = -170 + -3(-7x + -3) Combine like terms: 54 + 1 = 55 55 + 48x = -170 + -3(-7x + -3) Reorder the terms: 55 + 48x = -170 + -3(-3 + -7x) 55 + 48x = -170 + (-3 * -3 + -7x * -3) 55 + 48x = -170 + (9 + 21x) Combine like terms: -170 + 9 = -161 55 + 48x = -161 + 21x Solving 55 + 48x = -161 + 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. 55 + 48x + -21x = -161 + 21x + -21x Combine like terms: 48x + -21x = 27x 55 + 27x = -161 + 21x + -21x Combine like terms: 21x + -21x = 0 55 + 27x = -161 + 0 55 + 27x = -161 Add '-55' to each side of the equation. 55 + -55 + 27x = -161 + -55 Combine like terms: 55 + -55 = 0 0 + 27x = -161 + -55 27x = -161 + -55 Combine like terms: -161 + -55 = -216 27x = -216 Divide each side by '27'. x = -8 Simplifying x = -8
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