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Simplifying 2(6 + -1x) + -1(9x + 2) = 4 + 8(x + -4) (6 * 2 + -1x * 2) + -1(9x + 2) = 4 + 8(x + -4) (12 + -2x) + -1(9x + 2) = 4 + 8(x + -4) Reorder the terms: 12 + -2x + -1(2 + 9x) = 4 + 8(x + -4) 12 + -2x + (2 * -1 + 9x * -1) = 4 + 8(x + -4) 12 + -2x + (-2 + -9x) = 4 + 8(x + -4) Reorder the terms: 12 + -2 + -2x + -9x = 4 + 8(x + -4) Combine like terms: 12 + -2 = 10 10 + -2x + -9x = 4 + 8(x + -4) Combine like terms: -2x + -9x = -11x 10 + -11x = 4 + 8(x + -4) Reorder the terms: 10 + -11x = 4 + 8(-4 + x) 10 + -11x = 4 + (-4 * 8 + x * 8) 10 + -11x = 4 + (-32 + 8x) Combine like terms: 4 + -32 = -28 10 + -11x = -28 + 8x Solving 10 + -11x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -11x + -8x = -28 + 8x + -8x Combine like terms: -11x + -8x = -19x 10 + -19x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -19x = -28 + 0 10 + -19x = -28 Add '-10' to each side of the equation. 10 + -10 + -19x = -28 + -10 Combine like terms: 10 + -10 = 0 0 + -19x = -28 + -10 -19x = -28 + -10 Combine like terms: -28 + -10 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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