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Simplifying 3x + -5(x + -3) + -2(1 + -3x) = 0 Reorder the terms: 3x + -5(-3 + x) + -2(1 + -3x) = 0 3x + (-3 * -5 + x * -5) + -2(1 + -3x) = 0 3x + (15 + -5x) + -2(1 + -3x) = 0 3x + 15 + -5x + (1 * -2 + -3x * -2) = 0 3x + 15 + -5x + (-2 + 6x) = 0 Reorder the terms: 15 + -2 + 3x + -5x + 6x = 0 Combine like terms: 15 + -2 = 13 13 + 3x + -5x + 6x = 0 Combine like terms: 3x + -5x = -2x 13 + -2x + 6x = 0 Combine like terms: -2x + 6x = 4x 13 + 4x = 0 Solving 13 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 0 + -13 4x = 0 + -13 Combine like terms: 0 + -13 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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