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Simplifying 2x + -3(4x + 2) = 6 + -13x Reorder the terms: 2x + -3(2 + 4x) = 6 + -13x 2x + (2 * -3 + 4x * -3) = 6 + -13x 2x + (-6 + -12x) = 6 + -13x Reorder the terms: -6 + 2x + -12x = 6 + -13x Combine like terms: 2x + -12x = -10x -6 + -10x = 6 + -13x Solving -6 + -10x = 6 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -6 + -10x + 13x = 6 + -13x + 13x Combine like terms: -10x + 13x = 3x -6 + 3x = 6 + -13x + 13x Combine like terms: -13x + 13x = 0 -6 + 3x = 6 + 0 -6 + 3x = 6 Add '6' to each side of the equation. -6 + 6 + 3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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