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Simplifying 6(x + -1) = -12(2x + -7) Reorder the terms: 6(-1 + x) = -12(2x + -7) (-1 * 6 + x * 6) = -12(2x + -7) (-6 + 6x) = -12(2x + -7) Reorder the terms: -6 + 6x = -12(-7 + 2x) -6 + 6x = (-7 * -12 + 2x * -12) -6 + 6x = (84 + -24x) Solving -6 + 6x = 84 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -6 + 6x + 24x = 84 + -24x + 24x Combine like terms: 6x + 24x = 30x -6 + 30x = 84 + -24x + 24x Combine like terms: -24x + 24x = 0 -6 + 30x = 84 + 0 -6 + 30x = 84 Add '6' to each side of the equation. -6 + 6 + 30x = 84 + 6 Combine like terms: -6 + 6 = 0 0 + 30x = 84 + 6 30x = 84 + 6 Combine like terms: 84 + 6 = 90 30x = 90 Divide each side by '30'. x = 3 Simplifying x = 3
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