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Simplifying 9(-2x + 4) = (-11)(2x + -1) + -1(-3x + -31) Reorder the terms: 9(4 + -2x) = (-11)(2x + -1) + -1(-3x + -31) (4 * 9 + -2x * 9) = (-11)(2x + -1) + -1(-3x + -31) (36 + -18x) = (-11)(2x + -1) + -1(-3x + -31) Reorder the terms: 36 + -18x = -11(-1 + 2x) + -1(-3x + -31) 36 + -18x = (-1 * -11 + 2x * -11) + -1(-3x + -31) 36 + -18x = (11 + -22x) + -1(-3x + -31) Reorder the terms: 36 + -18x = 11 + -22x + -1(-31 + -3x) 36 + -18x = 11 + -22x + (-31 * -1 + -3x * -1) 36 + -18x = 11 + -22x + (31 + 3x) Reorder the terms: 36 + -18x = 11 + 31 + -22x + 3x Combine like terms: 11 + 31 = 42 36 + -18x = 42 + -22x + 3x Combine like terms: -22x + 3x = -19x 36 + -18x = 42 + -19x Solving 36 + -18x = 42 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 36 + -18x + 19x = 42 + -19x + 19x Combine like terms: -18x + 19x = 1x 36 + 1x = 42 + -19x + 19x Combine like terms: -19x + 19x = 0 36 + 1x = 42 + 0 36 + 1x = 42 Add '-36' to each side of the equation. 36 + -36 + 1x = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 42 + -36 1x = 42 + -36 Combine like terms: 42 + -36 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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