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Simplifying 3 + -2(3x + -5) = 2(3 + -4x) Reorder the terms: 3 + -2(-5 + 3x) = 2(3 + -4x) 3 + (-5 * -2 + 3x * -2) = 2(3 + -4x) 3 + (10 + -6x) = 2(3 + -4x) Combine like terms: 3 + 10 = 13 13 + -6x = 2(3 + -4x) 13 + -6x = (3 * 2 + -4x * 2) 13 + -6x = (6 + -8x) Solving 13 + -6x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 13 + -6x + 8x = 6 + -8x + 8x Combine like terms: -6x + 8x = 2x 13 + 2x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + 2x = 6 + 0 13 + 2x = 6 Add '-13' to each side of the equation. 13 + -13 + 2x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 6 + -13 2x = 6 + -13 Combine like terms: 6 + -13 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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