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Simplifying 10x + -5 + -7x = -8(6 + 5x) Reorder the terms: -5 + 10x + -7x = -8(6 + 5x) Combine like terms: 10x + -7x = 3x -5 + 3x = -8(6 + 5x) -5 + 3x = (6 * -8 + 5x * -8) -5 + 3x = (-48 + -40x) Solving -5 + 3x = -48 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -5 + 3x + 40x = -48 + -40x + 40x Combine like terms: 3x + 40x = 43x -5 + 43x = -48 + -40x + 40x Combine like terms: -40x + 40x = 0 -5 + 43x = -48 + 0 -5 + 43x = -48 Add '5' to each side of the equation. -5 + 5 + 43x = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43x = -48 + 5 43x = -48 + 5 Combine like terms: -48 + 5 = -43 43x = -43 Divide each side by '43'. x = -1 Simplifying x = -1
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