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Simplifying 3(7x + -5) = 2(x + 5) + -4(2x + 1) Reorder the terms: 3(-5 + 7x) = 2(x + 5) + -4(2x + 1) (-5 * 3 + 7x * 3) = 2(x + 5) + -4(2x + 1) (-15 + 21x) = 2(x + 5) + -4(2x + 1) Reorder the terms: -15 + 21x = 2(5 + x) + -4(2x + 1) -15 + 21x = (5 * 2 + x * 2) + -4(2x + 1) -15 + 21x = (10 + 2x) + -4(2x + 1) Reorder the terms: -15 + 21x = 10 + 2x + -4(1 + 2x) -15 + 21x = 10 + 2x + (1 * -4 + 2x * -4) -15 + 21x = 10 + 2x + (-4 + -8x) Reorder the terms: -15 + 21x = 10 + -4 + 2x + -8x Combine like terms: 10 + -4 = 6 -15 + 21x = 6 + 2x + -8x Combine like terms: 2x + -8x = -6x -15 + 21x = 6 + -6x Solving -15 + 21x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 21x + 6x = 6 + -6x + 6x Combine like terms: 21x + 6x = 27x -15 + 27x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 27x = 6 + 0 -15 + 27x = 6 Add '15' to each side of the equation. -15 + 15 + 27x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 27x = 6 + 15 27x = 6 + 15 Combine like terms: 6 + 15 = 21 27x = 21 Divide each side by '27'. x = 0.7777777778 Simplifying x = 0.7777777778
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