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Simplifying (10x + 8x + -3) + -1(10x + 7) = 30 Reorder the terms: (-3 + 10x + 8x) + -1(10x + 7) = 30 Combine like terms: 10x + 8x = 18x (-3 + 18x) + -1(10x + 7) = 30 Remove parenthesis around (-3 + 18x) -3 + 18x + -1(10x + 7) = 30 Reorder the terms: -3 + 18x + -1(7 + 10x) = 30 -3 + 18x + (7 * -1 + 10x * -1) = 30 -3 + 18x + (-7 + -10x) = 30 Reorder the terms: -3 + -7 + 18x + -10x = 30 Combine like terms: -3 + -7 = -10 -10 + 18x + -10x = 30 Combine like terms: 18x + -10x = 8x -10 + 8x = 30 Solving -10 + 8x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 30 + 10 8x = 30 + 10 Combine like terms: 30 + 10 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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