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Simplifying 7(3x + -1) = -5(x + 2) Reorder the terms: 7(-1 + 3x) = -5(x + 2) (-1 * 7 + 3x * 7) = -5(x + 2) (-7 + 21x) = -5(x + 2) Reorder the terms: -7 + 21x = -5(2 + x) -7 + 21x = (2 * -5 + x * -5) -7 + 21x = (-10 + -5x) Solving -7 + 21x = -10 + -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. -7 + 21x + 5x = -10 + -5x + 5x Combine like terms: 21x + 5x = 26x -7 + 26x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 26x = -10 + 0 -7 + 26x = -10 Add '7' to each side of the equation. -7 + 7 + 26x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + 26x = -10 + 7 26x = -10 + 7 Combine like terms: -10 + 7 = -3 26x = -3 Divide each side by '26'. x = -0.1153846154 Simplifying x = -0.1153846154
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