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Simplifying 3x + -1 = -5(2x + -1) + -2(7 + -2x) Reorder the terms: -1 + 3x = -5(2x + -1) + -2(7 + -2x) Reorder the terms: -1 + 3x = -5(-1 + 2x) + -2(7 + -2x) -1 + 3x = (-1 * -5 + 2x * -5) + -2(7 + -2x) -1 + 3x = (5 + -10x) + -2(7 + -2x) -1 + 3x = 5 + -10x + (7 * -2 + -2x * -2) -1 + 3x = 5 + -10x + (-14 + 4x) Reorder the terms: -1 + 3x = 5 + -14 + -10x + 4x Combine like terms: 5 + -14 = -9 -1 + 3x = -9 + -10x + 4x Combine like terms: -10x + 4x = -6x -1 + 3x = -9 + -6x Solving -1 + 3x = -9 + -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. -1 + 3x + 6x = -9 + -6x + 6x Combine like terms: 3x + 6x = 9x -1 + 9x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 9x = -9 + 0 -1 + 9x = -9 Add '1' to each side of the equation. -1 + 1 + 9x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = -9 + 1 9x = -9 + 1 Combine like terms: -9 + 1 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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