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Simplifying 6(2x + -9) + -2 = 6(x + -4) + 4 Reorder the terms: 6(-9 + 2x) + -2 = 6(x + -4) + 4 (-9 * 6 + 2x * 6) + -2 = 6(x + -4) + 4 (-54 + 12x) + -2 = 6(x + -4) + 4 Reorder the terms: -54 + -2 + 12x = 6(x + -4) + 4 Combine like terms: -54 + -2 = -56 -56 + 12x = 6(x + -4) + 4 Reorder the terms: -56 + 12x = 6(-4 + x) + 4 -56 + 12x = (-4 * 6 + x * 6) + 4 -56 + 12x = (-24 + 6x) + 4 Reorder the terms: -56 + 12x = -24 + 4 + 6x Combine like terms: -24 + 4 = -20 -56 + 12x = -20 + 6x Solving -56 + 12x = -20 + 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. -56 + 12x + -6x = -20 + 6x + -6x Combine like terms: 12x + -6x = 6x -56 + 6x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 6x = -20 + 0 -56 + 6x = -20 Add '56' to each side of the equation. -56 + 56 + 6x = -20 + 56 Combine like terms: -56 + 56 = 0 0 + 6x = -20 + 56 6x = -20 + 56 Combine like terms: -20 + 56 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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