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Simplifying 5(6x + -4) + -15x = 30 + 2(5x + 25) Reorder the terms: 5(-4 + 6x) + -15x = 30 + 2(5x + 25) (-4 * 5 + 6x * 5) + -15x = 30 + 2(5x + 25) (-20 + 30x) + -15x = 30 + 2(5x + 25) Combine like terms: 30x + -15x = 15x -20 + 15x = 30 + 2(5x + 25) Reorder the terms: -20 + 15x = 30 + 2(25 + 5x) -20 + 15x = 30 + (25 * 2 + 5x * 2) -20 + 15x = 30 + (50 + 10x) Combine like terms: 30 + 50 = 80 -20 + 15x = 80 + 10x Solving -20 + 15x = 80 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 15x + -10x = 80 + 10x + -10x Combine like terms: 15x + -10x = 5x -20 + 5x = 80 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + 5x = 80 + 0 -20 + 5x = 80 Add '20' to each side of the equation. -20 + 20 + 5x = 80 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 80 + 20 5x = 80 + 20 Combine like terms: 80 + 20 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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