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Simplifying 2(x + -5) + 7x + 10(3x) = 524 Reorder the terms: 2(-5 + x) + 7x + 10(3x) = 524 (-5 * 2 + x * 2) + 7x + 10(3x) = 524 (-10 + 2x) + 7x + 10(3x) = 524 Remove parenthesis around (3x) -10 + 2x + 7x + 10 * 3x = 524 Multiply 10 * 3 -10 + 2x + 7x + 30x = 524 Combine like terms: 2x + 7x = 9x -10 + 9x + 30x = 524 Combine like terms: 9x + 30x = 39x -10 + 39x = 524 Solving -10 + 39x = 524 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 + 39x = 524 + 10 Combine like terms: -10 + 10 = 0 0 + 39x = 524 + 10 39x = 524 + 10 Combine like terms: 524 + 10 = 534 39x = 534 Divide each side by '39'. x = 13.69230769 Simplifying x = 13.69230769
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