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Simplifying -32 + -7x = 6(8 + -7x) + -5x -32 + -7x = (8 * 6 + -7x * 6) + -5x -32 + -7x = (48 + -42x) + -5x Combine like terms: -42x + -5x = -47x -32 + -7x = 48 + -47x Solving -32 + -7x = 48 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. -32 + -7x + 47x = 48 + -47x + 47x Combine like terms: -7x + 47x = 40x -32 + 40x = 48 + -47x + 47x Combine like terms: -47x + 47x = 0 -32 + 40x = 48 + 0 -32 + 40x = 48 Add '32' to each side of the equation. -32 + 32 + 40x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 40x = 48 + 32 40x = 48 + 32 Combine like terms: 48 + 32 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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