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Simplifying 2 + -6(x + 3) + 4 = 4(2x + 3) + -2x Reorder the terms: 2 + -6(3 + x) + 4 = 4(2x + 3) + -2x 2 + (3 * -6 + x * -6) + 4 = 4(2x + 3) + -2x 2 + (-18 + -6x) + 4 = 4(2x + 3) + -2x Reorder the terms: 2 + -18 + 4 + -6x = 4(2x + 3) + -2x Combine like terms: 2 + -18 = -16 -16 + 4 + -6x = 4(2x + 3) + -2x Combine like terms: -16 + 4 = -12 -12 + -6x = 4(2x + 3) + -2x Reorder the terms: -12 + -6x = 4(3 + 2x) + -2x -12 + -6x = (3 * 4 + 2x * 4) + -2x -12 + -6x = (12 + 8x) + -2x Combine like terms: 8x + -2x = 6x -12 + -6x = 12 + 6x Solving -12 + -6x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -6x + -6x = 12 + 6x + -6x Combine like terms: -6x + -6x = -12x -12 + -12x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -12x = 12 + 0 -12 + -12x = 12 Add '12' to each side of the equation. -12 + 12 + -12x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = 12 + 12 -12x = 12 + 12 Combine like terms: 12 + 12 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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