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