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Simplifying 4x + 6 + -2x = 4(x + 3) Reorder the terms: 6 + 4x + -2x = 4(x + 3) Combine like terms: 4x + -2x = 2x 6 + 2x = 4(x + 3) Reorder the terms: 6 + 2x = 4(3 + x) 6 + 2x = (3 * 4 + x * 4) 6 + 2x = (12 + 4x) Solving 6 + 2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = 12 + 0 6 + -2x = 12 Add '-6' to each side of the equation. 6 + -6 + -2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 12 + -6 -2x = 12 + -6 Combine like terms: 12 + -6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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