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Simplifying 63 + 8(6x + -1) = 7(6x + 1) Reorder the terms: 63 + 8(-1 + 6x) = 7(6x + 1) 63 + (-1 * 8 + 6x * 8) = 7(6x + 1) 63 + (-8 + 48x) = 7(6x + 1) Combine like terms: 63 + -8 = 55 55 + 48x = 7(6x + 1) Reorder the terms: 55 + 48x = 7(1 + 6x) 55 + 48x = (1 * 7 + 6x * 7) 55 + 48x = (7 + 42x) Solving 55 + 48x = 7 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 55 + 48x + -42x = 7 + 42x + -42x Combine like terms: 48x + -42x = 6x 55 + 6x = 7 + 42x + -42x Combine like terms: 42x + -42x = 0 55 + 6x = 7 + 0 55 + 6x = 7 Add '-55' to each side of the equation. 55 + -55 + 6x = 7 + -55 Combine like terms: 55 + -55 = 0 0 + 6x = 7 + -55 6x = 7 + -55 Combine like terms: 7 + -55 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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