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Simplifying 7x + -5x + 2(4x + -3) = 6(2x + 5) + -1(7x + 9) Reorder the terms: 7x + -5x + 2(-3 + 4x) = 6(2x + 5) + -1(7x + 9) 7x + -5x + (-3 * 2 + 4x * 2) = 6(2x + 5) + -1(7x + 9) 7x + -5x + (-6 + 8x) = 6(2x + 5) + -1(7x + 9) Reorder the terms: -6 + 7x + -5x + 8x = 6(2x + 5) + -1(7x + 9) Combine like terms: 7x + -5x = 2x -6 + 2x + 8x = 6(2x + 5) + -1(7x + 9) Combine like terms: 2x + 8x = 10x -6 + 10x = 6(2x + 5) + -1(7x + 9) Reorder the terms: -6 + 10x = 6(5 + 2x) + -1(7x + 9) -6 + 10x = (5 * 6 + 2x * 6) + -1(7x + 9) -6 + 10x = (30 + 12x) + -1(7x + 9) Reorder the terms: -6 + 10x = 30 + 12x + -1(9 + 7x) -6 + 10x = 30 + 12x + (9 * -1 + 7x * -1) -6 + 10x = 30 + 12x + (-9 + -7x) Reorder the terms: -6 + 10x = 30 + -9 + 12x + -7x Combine like terms: 30 + -9 = 21 -6 + 10x = 21 + 12x + -7x Combine like terms: 12x + -7x = 5x -6 + 10x = 21 + 5x Solving -6 + 10x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 10x + -5x = 21 + 5x + -5x Combine like terms: 10x + -5x = 5x -6 + 5x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 5x = 21 + 0 -6 + 5x = 21 Add '6' to each side of the equation. -6 + 6 + 5x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 21 + 6 5x = 21 + 6 Combine like terms: 21 + 6 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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