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Simplifying 2(x + 3) = (3x + -5) * 2 Reorder the terms: 2(3 + x) = (3x + -5) * 2 (3 * 2 + x * 2) = (3x + -5) * 2 (6 + 2x) = (3x + -5) * 2 Reorder the terms: 6 + 2x = (-5 + 3x) * 2 Reorder the terms for easier multiplication: 6 + 2x = 2(-5 + 3x) 6 + 2x = (-5 * 2 + 3x * 2) 6 + 2x = (-10 + 6x) Solving 6 + 2x = -10 + 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. 6 + 2x + -6x = -10 + 6x + -6x Combine like terms: 2x + -6x = -4x 6 + -4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -4x = -10 + 0 6 + -4x = -10 Add '-6' to each side of the equation. 6 + -6 + -4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -10 + -6 -4x = -10 + -6 Combine like terms: -10 + -6 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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