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Simplifying 2(9 + -1x) + -1(x + 2) = 4 + 6(x + -4) (9 * 2 + -1x * 2) + -1(x + 2) = 4 + 6(x + -4) (18 + -2x) + -1(x + 2) = 4 + 6(x + -4) Reorder the terms: 18 + -2x + -1(2 + x) = 4 + 6(x + -4) 18 + -2x + (2 * -1 + x * -1) = 4 + 6(x + -4) 18 + -2x + (-2 + -1x) = 4 + 6(x + -4) Reorder the terms: 18 + -2 + -2x + -1x = 4 + 6(x + -4) Combine like terms: 18 + -2 = 16 16 + -2x + -1x = 4 + 6(x + -4) Combine like terms: -2x + -1x = -3x 16 + -3x = 4 + 6(x + -4) Reorder the terms: 16 + -3x = 4 + 6(-4 + x) 16 + -3x = 4 + (-4 * 6 + x * 6) 16 + -3x = 4 + (-24 + 6x) Combine like terms: 4 + -24 = -20 16 + -3x = -20 + 6x Solving 16 + -3x = -20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + -3x + -6x = -20 + 6x + -6x Combine like terms: -3x + -6x = -9x 16 + -9x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -9x = -20 + 0 16 + -9x = -20 Add '-16' to each side of the equation. 16 + -16 + -9x = -20 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = -20 + -16 -9x = -20 + -16 Combine like terms: -20 + -16 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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