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Simplifying 47 = 4(x + 6) + -1(7x + 1) Reorder the terms: 47 = 4(6 + x) + -1(7x + 1) 47 = (6 * 4 + x * 4) + -1(7x + 1) 47 = (24 + 4x) + -1(7x + 1) Reorder the terms: 47 = 24 + 4x + -1(1 + 7x) 47 = 24 + 4x + (1 * -1 + 7x * -1) 47 = 24 + 4x + (-1 + -7x) Reorder the terms: 47 = 24 + -1 + 4x + -7x Combine like terms: 24 + -1 = 23 47 = 23 + 4x + -7x Combine like terms: 4x + -7x = -3x 47 = 23 + -3x Solving 47 = 23 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 47 + 3x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 47 + 3x = 23 + 0 47 + 3x = 23 Add '-47' to each side of the equation. 47 + -47 + 3x = 23 + -47 Combine like terms: 47 + -47 = 0 0 + 3x = 23 + -47 3x = 23 + -47 Combine like terms: 23 + -47 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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