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Simplifying 2(4x + 3) = 7 + -1(x + -11) Reorder the terms: 2(3 + 4x) = 7 + -1(x + -11) (3 * 2 + 4x * 2) = 7 + -1(x + -11) (6 + 8x) = 7 + -1(x + -11) Reorder the terms: 6 + 8x = 7 + -1(-11 + x) 6 + 8x = 7 + (-11 * -1 + x * -1) 6 + 8x = 7 + (11 + -1x) Combine like terms: 7 + 11 = 18 6 + 8x = 18 + -1x Solving 6 + 8x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 8x + x = 18 + -1x + x Combine like terms: 8x + x = 9x 6 + 9x = 18 + -1x + x Combine like terms: -1x + x = 0 6 + 9x = 18 + 0 6 + 9x = 18 Add '-6' to each side of the equation. 6 + -6 + 9x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 18 + -6 9x = 18 + -6 Combine like terms: 18 + -6 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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