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Simplifying 2x + -5(x + -1) + -3 = 1 + -2(-3x + 1) Reorder the terms: 2x + -5(-1 + x) + -3 = 1 + -2(-3x + 1) 2x + (-1 * -5 + x * -5) + -3 = 1 + -2(-3x + 1) 2x + (5 + -5x) + -3 = 1 + -2(-3x + 1) Reorder the terms: 5 + -3 + 2x + -5x = 1 + -2(-3x + 1) Combine like terms: 5 + -3 = 2 2 + 2x + -5x = 1 + -2(-3x + 1) Combine like terms: 2x + -5x = -3x 2 + -3x = 1 + -2(-3x + 1) Reorder the terms: 2 + -3x = 1 + -2(1 + -3x) 2 + -3x = 1 + (1 * -2 + -3x * -2) 2 + -3x = 1 + (-2 + 6x) Combine like terms: 1 + -2 = -1 2 + -3x = -1 + 6x Solving 2 + -3x = -1 + 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. 2 + -3x + -6x = -1 + 6x + -6x Combine like terms: -3x + -6x = -9x 2 + -9x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -9x = -1 + 0 2 + -9x = -1 Add '-2' to each side of the equation. 2 + -2 + -9x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -1 + -2 -9x = -1 + -2 Combine like terms: -1 + -2 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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