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Simplifying 2(x + 3) + 4x = 2x + -6 Reorder the terms: 2(3 + x) + 4x = 2x + -6 (3 * 2 + x * 2) + 4x = 2x + -6 (6 + 2x) + 4x = 2x + -6 Combine like terms: 2x + 4x = 6x 6 + 6x = 2x + -6 Reorder the terms: 6 + 6x = -6 + 2x Solving 6 + 6x = -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. 6 + 6x + -2x = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = -6 + 0 6 + 4x = -6 Add '-6' to each side of the equation. 6 + -6 + 4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -6 + -6 4x = -6 + -6 Combine like terms: -6 + -6 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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