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Simplifying 3x + -2(2x + -5) + 3(2x + 1) = 0 Reorder the terms: 3x + -2(-5 + 2x) + 3(2x + 1) = 0 3x + (-5 * -2 + 2x * -2) + 3(2x + 1) = 0 3x + (10 + -4x) + 3(2x + 1) = 0 Reorder the terms: 3x + 10 + -4x + 3(1 + 2x) = 0 3x + 10 + -4x + (1 * 3 + 2x * 3) = 0 3x + 10 + -4x + (3 + 6x) = 0 Reorder the terms: 10 + 3 + 3x + -4x + 6x = 0 Combine like terms: 10 + 3 = 13 13 + 3x + -4x + 6x = 0 Combine like terms: 3x + -4x = -1x 13 + -1x + 6x = 0 Combine like terms: -1x + 6x = 5x 13 + 5x = 0 Solving 13 + 5x = 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 + 5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 0 + -13 5x = 0 + -13 Combine like terms: 0 + -13 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6
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