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Simplifying 5(3x + -4) + -2 = 5(x + -4) + 28 Reorder the terms: 5(-4 + 3x) + -2 = 5(x + -4) + 28 (-4 * 5 + 3x * 5) + -2 = 5(x + -4) + 28 (-20 + 15x) + -2 = 5(x + -4) + 28 Reorder the terms: -20 + -2 + 15x = 5(x + -4) + 28 Combine like terms: -20 + -2 = -22 -22 + 15x = 5(x + -4) + 28 Reorder the terms: -22 + 15x = 5(-4 + x) + 28 -22 + 15x = (-4 * 5 + x * 5) + 28 -22 + 15x = (-20 + 5x) + 28 Reorder the terms: -22 + 15x = -20 + 28 + 5x Combine like terms: -20 + 28 = 8 -22 + 15x = 8 + 5x Solving -22 + 15x = 8 + 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. -22 + 15x + -5x = 8 + 5x + -5x Combine like terms: 15x + -5x = 10x -22 + 10x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + 10x = 8 + 0 -22 + 10x = 8 Add '22' to each side of the equation. -22 + 22 + 10x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 10x = 8 + 22 10x = 8 + 22 Combine like terms: 8 + 22 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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