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Simplifying 5(2x + -7) + -2(x + 2) + -15x = 0 Reorder the terms: 5(-7 + 2x) + -2(x + 2) + -15x = 0 (-7 * 5 + 2x * 5) + -2(x + 2) + -15x = 0 (-35 + 10x) + -2(x + 2) + -15x = 0 Reorder the terms: -35 + 10x + -2(2 + x) + -15x = 0 -35 + 10x + (2 * -2 + x * -2) + -15x = 0 -35 + 10x + (-4 + -2x) + -15x = 0 Reorder the terms: -35 + -4 + 10x + -2x + -15x = 0 Combine like terms: -35 + -4 = -39 -39 + 10x + -2x + -15x = 0 Combine like terms: 10x + -2x = 8x -39 + 8x + -15x = 0 Combine like terms: 8x + -15x = -7x -39 + -7x = 0 Solving -39 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -7x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -7x = 0 + 39 -7x = 0 + 39 Combine like terms: 0 + 39 = 39 -7x = 39 Divide each side by '-7'. x = -5.571428571 Simplifying x = -5.571428571
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