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Simplifying 4x + -2(3x + 2) = 2(x + 3) Reorder the terms: 4x + -2(2 + 3x) = 2(x + 3) 4x + (2 * -2 + 3x * -2) = 2(x + 3) 4x + (-4 + -6x) = 2(x + 3) Reorder the terms: -4 + 4x + -6x = 2(x + 3) Combine like terms: 4x + -6x = -2x -4 + -2x = 2(x + 3) Reorder the terms: -4 + -2x = 2(3 + x) -4 + -2x = (3 * 2 + x * 2) -4 + -2x = (6 + 2x) Solving -4 + -2x = 6 + 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. -4 + -2x + -2x = 6 + 2x + -2x Combine like terms: -2x + -2x = -4x -4 + -4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -4x = 6 + 0 -4 + -4x = 6 Add '4' to each side of the equation. -4 + 4 + -4x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 6 + 4 -4x = 6 + 4 Combine like terms: 6 + 4 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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