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Simplifying 6x + -2(3 + -4x) = 6(3x + 2) 6x + (3 * -2 + -4x * -2) = 6(3x + 2) 6x + (-6 + 8x) = 6(3x + 2) Reorder the terms: -6 + 6x + 8x = 6(3x + 2) Combine like terms: 6x + 8x = 14x -6 + 14x = 6(3x + 2) Reorder the terms: -6 + 14x = 6(2 + 3x) -6 + 14x = (2 * 6 + 3x * 6) -6 + 14x = (12 + 18x) Solving -6 + 14x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -6 + 14x + -18x = 12 + 18x + -18x Combine like terms: 14x + -18x = -4x -6 + -4x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -4x = 12 + 0 -6 + -4x = 12 Add '6' to each side of the equation. -6 + 6 + -4x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 12 + 6 -4x = 12 + 6 Combine like terms: 12 + 6 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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