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Simplifying 5(x + -6) + -4 = 3x + 12 Reorder the terms: 5(-6 + x) + -4 = 3x + 12 (-6 * 5 + x * 5) + -4 = 3x + 12 (-30 + 5x) + -4 = 3x + 12 Reorder the terms: -30 + -4 + 5x = 3x + 12 Combine like terms: -30 + -4 = -34 -34 + 5x = 3x + 12 Reorder the terms: -34 + 5x = 12 + 3x Solving -34 + 5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -34 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x -34 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -34 + 2x = 12 + 0 -34 + 2x = 12 Add '34' to each side of the equation. -34 + 34 + 2x = 12 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = 12 + 34 2x = 12 + 34 Combine like terms: 12 + 34 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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