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Simplifying 5x + 6 = 2(2x + -3) Reorder the terms: 6 + 5x = 2(2x + -3) Reorder the terms: 6 + 5x = 2(-3 + 2x) 6 + 5x = (-3 * 2 + 2x * 2) 6 + 5x = (-6 + 4x) Solving 6 + 5x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 5x + -4x = -6 + 4x + -4x Combine like terms: 5x + -4x = 1x 6 + 1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 1x = -6 + 0 6 + 1x = -6 Add '-6' to each side of the equation. 6 + -6 + 1x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -6 + -6 1x = -6 + -6 Combine like terms: -6 + -6 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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