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Simplifying -5(5 + 3x) + 5(x + -7) = 10 (5 * -5 + 3x * -5) + 5(x + -7) = 10 (-25 + -15x) + 5(x + -7) = 10 Reorder the terms: -25 + -15x + 5(-7 + x) = 10 -25 + -15x + (-7 * 5 + x * 5) = 10 -25 + -15x + (-35 + 5x) = 10 Reorder the terms: -25 + -35 + -15x + 5x = 10 Combine like terms: -25 + -35 = -60 -60 + -15x + 5x = 10 Combine like terms: -15x + 5x = -10x -60 + -10x = 10 Solving -60 + -10x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -10x = 10 + 60 Combine like terms: -60 + 60 = 0 0 + -10x = 10 + 60 -10x = 10 + 60 Combine like terms: 10 + 60 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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