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Simplifying 5 + -1(3x + -2) = 2(3x + -2) Reorder the terms: 5 + -1(-2 + 3x) = 2(3x + -2) 5 + (-2 * -1 + 3x * -1) = 2(3x + -2) 5 + (2 + -3x) = 2(3x + -2) Combine like terms: 5 + 2 = 7 7 + -3x = 2(3x + -2) Reorder the terms: 7 + -3x = 2(-2 + 3x) 7 + -3x = (-2 * 2 + 3x * 2) 7 + -3x = (-4 + 6x) Solving 7 + -3x = -4 + 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. 7 + -3x + -6x = -4 + 6x + -6x Combine like terms: -3x + -6x = -9x 7 + -9x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -9x = -4 + 0 7 + -9x = -4 Add '-7' to each side of the equation. 7 + -7 + -9x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -4 + -7 -9x = -4 + -7 Combine like terms: -4 + -7 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222
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