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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 = -37x -5 + -37x = -48 + 40x + -40x Combine like terms: 40x + -40x = 0 -5 + -37x = -48 + 0 -5 + -37x = -48 Add '5' to each side of the equation. -5 + 5 + -37x = -48 + 5 Combine like terms: -5 + 5 = 0 0 + -37x = -48 + 5 -37x = -48 + 5 Combine like terms: -48 + 5 = -43 -37x = -43 Divide each side by '-37'. x = 1.162162162 Simplifying x = 1.162162162
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