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Simplifying 3x + -1 = 5(x + -1) * 2 + -1(7 + -2x) Reorder the terms: -1 + 3x = 5(x + -1) * 2 + -1(7 + -2x) Reorder the terms: -1 + 3x = 5(-1 + x) * 2 + -1(7 + -2x) Reorder the terms for easier multiplication: -1 + 3x = 5 * 2(-1 + x) + -1(7 + -2x) Multiply 5 * 2 -1 + 3x = 10(-1 + x) + -1(7 + -2x) -1 + 3x = (-1 * 10 + x * 10) + -1(7 + -2x) -1 + 3x = (-10 + 10x) + -1(7 + -2x) -1 + 3x = -10 + 10x + (7 * -1 + -2x * -1) -1 + 3x = -10 + 10x + (-7 + 2x) Reorder the terms: -1 + 3x = -10 + -7 + 10x + 2x Combine like terms: -10 + -7 = -17 -1 + 3x = -17 + 10x + 2x Combine like terms: 10x + 2x = 12x -1 + 3x = -17 + 12x Solving -1 + 3x = -17 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 3x + -12x = -17 + 12x + -12x Combine like terms: 3x + -12x = -9x -1 + -9x = -17 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -9x = -17 + 0 -1 + -9x = -17 Add '1' to each side of the equation. -1 + 1 + -9x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -17 + 1 -9x = -17 + 1 Combine like terms: -17 + 1 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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