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Simplifying 2(6 + 3x) + -4(5 + x) = 7x + 3(4 + -6x) (6 * 2 + 3x * 2) + -4(5 + x) = 7x + 3(4 + -6x) (12 + 6x) + -4(5 + x) = 7x + 3(4 + -6x) 12 + 6x + (5 * -4 + x * -4) = 7x + 3(4 + -6x) 12 + 6x + (-20 + -4x) = 7x + 3(4 + -6x) Reorder the terms: 12 + -20 + 6x + -4x = 7x + 3(4 + -6x) Combine like terms: 12 + -20 = -8 -8 + 6x + -4x = 7x + 3(4 + -6x) Combine like terms: 6x + -4x = 2x -8 + 2x = 7x + 3(4 + -6x) -8 + 2x = 7x + (4 * 3 + -6x * 3) -8 + 2x = 7x + (12 + -18x) Reorder the terms: -8 + 2x = 12 + 7x + -18x Combine like terms: 7x + -18x = -11x -8 + 2x = 12 + -11x Solving -8 + 2x = 12 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -8 + 2x + 11x = 12 + -11x + 11x Combine like terms: 2x + 11x = 13x -8 + 13x = 12 + -11x + 11x Combine like terms: -11x + 11x = 0 -8 + 13x = 12 + 0 -8 + 13x = 12 Add '8' to each side of the equation. -8 + 8 + 13x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 12 + 8 13x = 12 + 8 Combine like terms: 12 + 8 = 20 13x = 20 Divide each side by '13'. x = 1.538461538 Simplifying x = 1.538461538
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