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Simplifying 4(x + 3) = 6 + -2x Reorder the terms: 4(3 + x) = 6 + -2x (3 * 4 + x * 4) = 6 + -2x (12 + 4x) = 6 + -2x Solving 12 + 4x = 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. 12 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 6x = 6 + 0 12 + 6x = 6 Add '-12' to each side of the equation. 12 + -12 + 6x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 6 + -12 6x = 6 + -12 Combine like terms: 6 + -12 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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