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Simplifying 5(3x + -6) + -4 = 5(x + -4) + 76 Reorder the terms: 5(-6 + 3x) + -4 = 5(x + -4) + 76 (-6 * 5 + 3x * 5) + -4 = 5(x + -4) + 76 (-30 + 15x) + -4 = 5(x + -4) + 76 Reorder the terms: -30 + -4 + 15x = 5(x + -4) + 76 Combine like terms: -30 + -4 = -34 -34 + 15x = 5(x + -4) + 76 Reorder the terms: -34 + 15x = 5(-4 + x) + 76 -34 + 15x = (-4 * 5 + x * 5) + 76 -34 + 15x = (-20 + 5x) + 76 Reorder the terms: -34 + 15x = -20 + 76 + 5x Combine like terms: -20 + 76 = 56 -34 + 15x = 56 + 5x Solving -34 + 15x = 56 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -34 + 15x + -5x = 56 + 5x + -5x Combine like terms: 15x + -5x = 10x -34 + 10x = 56 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 10x = 56 + 0 -34 + 10x = 56 Add '34' to each side of the equation. -34 + 34 + 10x = 56 + 34 Combine like terms: -34 + 34 = 0 0 + 10x = 56 + 34 10x = 56 + 34 Combine like terms: 56 + 34 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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