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Simplifying 2 = 4(x + 6) + -1(1 + x) Reorder the terms: 2 = 4(6 + x) + -1(1 + x) 2 = (6 * 4 + x * 4) + -1(1 + x) 2 = (24 + 4x) + -1(1 + x) 2 = 24 + 4x + (1 * -1 + x * -1) 2 = 24 + 4x + (-1 + -1x) Reorder the terms: 2 = 24 + -1 + 4x + -1x Combine like terms: 24 + -1 = 23 2 = 23 + 4x + -1x Combine like terms: 4x + -1x = 3x 2 = 23 + 3x Solving 2 = 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. 2 + -3x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -3x = 23 + 0 2 + -3x = 23 Add '-2' to each side of the equation. 2 + -2 + -3x = 23 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 23 + -2 -3x = 23 + -2 Combine like terms: 23 + -2 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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