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