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Simplifying 4(3 + -1x) + 6x = x + 12 + -3X (3 * 4 + -1x * 4) + 6x = x + 12 + -3X (12 + -4x) + 6x = x + 12 + -3X Combine like terms: -4x + 6x = 2x 12 + 2x = x + 12 + -3X Reorder the terms: 12 + 2x = 12 + -3X + x Add '-12' to each side of the equation. 12 + -12 + 2x = 12 + -3X + -12 + x Combine like terms: 12 + -12 = 0 0 + 2x = 12 + -3X + -12 + x 2x = 12 + -3X + -12 + x Reorder the terms: 2x = 12 + -12 + -3X + x Combine like terms: 12 + -12 = 0 2x = 0 + -3X + x 2x = -3X + x Solving 2x = -3X + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2x + -1x = -3X + x + -1x Combine like terms: 2x + -1x = 1x 1x = -3X + x + -1x Combine like terms: x + -1x = 0 1x = -3X + 0 1x = -3X Divide each side by '1'. x = -3X Simplifying x = -3X
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