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Simplifying 6(3x + -2) + -8(2 + -9x) + 8(-9x + 2) = -4(5 + -4x) Reorder the terms: 6(-2 + 3x) + -8(2 + -9x) + 8(-9x + 2) = -4(5 + -4x) (-2 * 6 + 3x * 6) + -8(2 + -9x) + 8(-9x + 2) = -4(5 + -4x) (-12 + 18x) + -8(2 + -9x) + 8(-9x + 2) = -4(5 + -4x) -12 + 18x + (2 * -8 + -9x * -8) + 8(-9x + 2) = -4(5 + -4x) -12 + 18x + (-16 + 72x) + 8(-9x + 2) = -4(5 + -4x) Reorder the terms: -12 + 18x + -16 + 72x + 8(2 + -9x) = -4(5 + -4x) -12 + 18x + -16 + 72x + (2 * 8 + -9x * 8) = -4(5 + -4x) -12 + 18x + -16 + 72x + (16 + -72x) = -4(5 + -4x) Reorder the terms: -12 + -16 + 16 + 18x + 72x + -72x = -4(5 + -4x) Combine like terms: -12 + -16 = -28 -28 + 16 + 18x + 72x + -72x = -4(5 + -4x) Combine like terms: -28 + 16 = -12 -12 + 18x + 72x + -72x = -4(5 + -4x) Combine like terms: 18x + 72x = 90x -12 + 90x + -72x = -4(5 + -4x) Combine like terms: 90x + -72x = 18x -12 + 18x = -4(5 + -4x) -12 + 18x = (5 * -4 + -4x * -4) -12 + 18x = (-20 + 16x) Solving -12 + 18x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 18x + -16x = -20 + 16x + -16x Combine like terms: 18x + -16x = 2x -12 + 2x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + 2x = -20 + 0 -12 + 2x = -20 Add '12' to each side of the equation. -12 + 12 + 2x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -20 + 12 2x = -20 + 12 Combine like terms: -20 + 12 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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