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Simplifying 3(4x + -2) + -1(9x + -8) = 6 + -1(2x + 3) Reorder the terms: 3(-2 + 4x) + -1(9x + -8) = 6 + -1(2x + 3) (-2 * 3 + 4x * 3) + -1(9x + -8) = 6 + -1(2x + 3) (-6 + 12x) + -1(9x + -8) = 6 + -1(2x + 3) Reorder the terms: -6 + 12x + -1(-8 + 9x) = 6 + -1(2x + 3) -6 + 12x + (-8 * -1 + 9x * -1) = 6 + -1(2x + 3) -6 + 12x + (8 + -9x) = 6 + -1(2x + 3) Reorder the terms: -6 + 8 + 12x + -9x = 6 + -1(2x + 3) Combine like terms: -6 + 8 = 2 2 + 12x + -9x = 6 + -1(2x + 3) Combine like terms: 12x + -9x = 3x 2 + 3x = 6 + -1(2x + 3) Reorder the terms: 2 + 3x = 6 + -1(3 + 2x) 2 + 3x = 6 + (3 * -1 + 2x * -1) 2 + 3x = 6 + (-3 + -2x) Combine like terms: 6 + -3 = 3 2 + 3x = 3 + -2x Solving 2 + 3x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 3x + 2x = 3 + -2x + 2x Combine like terms: 3x + 2x = 5x 2 + 5x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 5x = 3 + 0 2 + 5x = 3 Add '-2' to each side of the equation. 2 + -2 + 5x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 3 + -2 5x = 3 + -2 Combine like terms: 3 + -2 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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