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Simplifying 5 + 6(x + 8) = 1 + -7x Reorder the terms: 5 + 6(8 + x) = 1 + -7x 5 + (8 * 6 + x * 6) = 1 + -7x 5 + (48 + 6x) = 1 + -7x Combine like terms: 5 + 48 = 53 53 + 6x = 1 + -7x Solving 53 + 6x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 53 + 6x + 7x = 1 + -7x + 7x Combine like terms: 6x + 7x = 13x 53 + 13x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 53 + 13x = 1 + 0 53 + 13x = 1 Add '-53' to each side of the equation. 53 + -53 + 13x = 1 + -53 Combine like terms: 53 + -53 = 0 0 + 13x = 1 + -53 13x = 1 + -53 Combine like terms: 1 + -53 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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