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Simplifying 2(x + -2) = 3(2x + 6) Reorder the terms: 2(-2 + x) = 3(2x + 6) (-2 * 2 + x * 2) = 3(2x + 6) (-4 + 2x) = 3(2x + 6) Reorder the terms: -4 + 2x = 3(6 + 2x) -4 + 2x = (6 * 3 + 2x * 3) -4 + 2x = (18 + 6x) Solving -4 + 2x = 18 + 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 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = 18 + 0 -4 + -4x = 18 Add '4' to each side of the equation. -4 + 4 + -4x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 18 + 4 -4x = 18 + 4 Combine like terms: 18 + 4 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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