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Simplifying 5(x + -6) + 12 = -8 + -1x + 14 Reorder the terms: 5(-6 + x) + 12 = -8 + -1x + 14 (-6 * 5 + x * 5) + 12 = -8 + -1x + 14 (-30 + 5x) + 12 = -8 + -1x + 14 Reorder the terms: -30 + 12 + 5x = -8 + -1x + 14 Combine like terms: -30 + 12 = -18 -18 + 5x = -8 + -1x + 14 Reorder the terms: -18 + 5x = -8 + 14 + -1x Combine like terms: -8 + 14 = 6 -18 + 5x = 6 + -1x Solving -18 + 5x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18 + 5x + x = 6 + -1x + x Combine like terms: 5x + x = 6x -18 + 6x = 6 + -1x + x Combine like terms: -1x + x = 0 -18 + 6x = 6 + 0 -18 + 6x = 6 Add '18' to each side of the equation. -18 + 18 + 6x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 6 + 18 6x = 6 + 18 Combine like terms: 6 + 18 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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