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Simplifying 3(7x + -4) = 2(5x + -1) Reorder the terms: 3(-4 + 7x) = 2(5x + -1) (-4 * 3 + 7x * 3) = 2(5x + -1) (-12 + 21x) = 2(5x + -1) Reorder the terms: -12 + 21x = 2(-1 + 5x) -12 + 21x = (-1 * 2 + 5x * 2) -12 + 21x = (-2 + 10x) Solving -12 + 21x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 21x + -10x = -2 + 10x + -10x Combine like terms: 21x + -10x = 11x -12 + 11x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 11x = -2 + 0 -12 + 11x = -2 Add '12' to each side of the equation. -12 + 12 + 11x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = -2 + 12 11x = -2 + 12 Combine like terms: -2 + 12 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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