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Simplifying 6x + -13 = 2 + -4(3x + 6) Reorder the terms: -13 + 6x = 2 + -4(3x + 6) Reorder the terms: -13 + 6x = 2 + -4(6 + 3x) -13 + 6x = 2 + (6 * -4 + 3x * -4) -13 + 6x = 2 + (-24 + -12x) Combine like terms: 2 + -24 = -22 -13 + 6x = -22 + -12x Solving -13 + 6x = -22 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -13 + 6x + 12x = -22 + -12x + 12x Combine like terms: 6x + 12x = 18x -13 + 18x = -22 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + 18x = -22 + 0 -13 + 18x = -22 Add '13' to each side of the equation. -13 + 13 + 18x = -22 + 13 Combine like terms: -13 + 13 = 0 0 + 18x = -22 + 13 18x = -22 + 13 Combine like terms: -22 + 13 = -9 18x = -9 Divide each side by '18'. x = -0.5 Simplifying x = -0.5
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