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