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Simplifying 6(2x + -7) + -2 = 6(x + -4) + 10 Reorder the terms: 6(-7 + 2x) + -2 = 6(x + -4) + 10 (-7 * 6 + 2x * 6) + -2 = 6(x + -4) + 10 (-42 + 12x) + -2 = 6(x + -4) + 10 Reorder the terms: -42 + -2 + 12x = 6(x + -4) + 10 Combine like terms: -42 + -2 = -44 -44 + 12x = 6(x + -4) + 10 Reorder the terms: -44 + 12x = 6(-4 + x) + 10 -44 + 12x = (-4 * 6 + x * 6) + 10 -44 + 12x = (-24 + 6x) + 10 Reorder the terms: -44 + 12x = -24 + 10 + 6x Combine like terms: -24 + 10 = -14 -44 + 12x = -14 + 6x Solving -44 + 12x = -14 + 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. -44 + 12x + -6x = -14 + 6x + -6x Combine like terms: 12x + -6x = 6x -44 + 6x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -44 + 6x = -14 + 0 -44 + 6x = -14 Add '44' to each side of the equation. -44 + 44 + 6x = -14 + 44 Combine like terms: -44 + 44 = 0 0 + 6x = -14 + 44 6x = -14 + 44 Combine like terms: -14 + 44 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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