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