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Simplifying 5x + 2 = 2(2x + -3) + 8 Reorder the terms: 2 + 5x = 2(2x + -3) + 8 Reorder the terms: 2 + 5x = 2(-3 + 2x) + 8 2 + 5x = (-3 * 2 + 2x * 2) + 8 2 + 5x = (-6 + 4x) + 8 Reorder the terms: 2 + 5x = -6 + 8 + 4x Combine like terms: -6 + 8 = 2 2 + 5x = 2 + 4x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2 + 4x 5x = 2 + -2 + 4x Combine like terms: 2 + -2 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 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. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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