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Simplifying 3 + -1(7 + 2x) = x + -3(5 + -2x) 3 + (7 * -1 + 2x * -1) = x + -3(5 + -2x) 3 + (-7 + -2x) = x + -3(5 + -2x) Combine like terms: 3 + -7 = -4 -4 + -2x = x + -3(5 + -2x) -4 + -2x = x + (5 * -3 + -2x * -3) -4 + -2x = x + (-15 + 6x) Reorder the terms: -4 + -2x = -15 + x + 6x Combine like terms: x + 6x = 7x -4 + -2x = -15 + 7x Solving -4 + -2x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + -2x + -7x = -15 + 7x + -7x Combine like terms: -2x + -7x = -9x -4 + -9x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -9x = -15 + 0 -4 + -9x = -15 Add '4' to each side of the equation. -4 + 4 + -9x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -15 + 4 -9x = -15 + 4 Combine like terms: -15 + 4 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222
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