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