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Simplifying 5(x + -6) + 10 = 4x + -12 Reorder the terms: 5(-6 + x) + 10 = 4x + -12 (-6 * 5 + x * 5) + 10 = 4x + -12 (-30 + 5x) + 10 = 4x + -12 Reorder the terms: -30 + 10 + 5x = 4x + -12 Combine like terms: -30 + 10 = -20 -20 + 5x = 4x + -12 Reorder the terms: -20 + 5x = -12 + 4x Solving -20 + 5x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x -20 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 1x = -12 + 0 -20 + 1x = -12 Add '20' to each side of the equation. -20 + 20 + 1x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -12 + 20 1x = -12 + 20 Combine like terms: -12 + 20 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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