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Simplifying 5x + -7 = 6(8x + 6) Reorder the terms: -7 + 5x = 6(8x + 6) Reorder the terms: -7 + 5x = 6(6 + 8x) -7 + 5x = (6 * 6 + 8x * 6) -7 + 5x = (36 + 48x) Solving -7 + 5x = 36 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -7 + 5x + -48x = 36 + 48x + -48x Combine like terms: 5x + -48x = -43x -7 + -43x = 36 + 48x + -48x Combine like terms: 48x + -48x = 0 -7 + -43x = 36 + 0 -7 + -43x = 36 Add '7' to each side of the equation. -7 + 7 + -43x = 36 + 7 Combine like terms: -7 + 7 = 0 0 + -43x = 36 + 7 -43x = 36 + 7 Combine like terms: 36 + 7 = 43 -43x = 43 Divide each side by '-43'. x = -1 Simplifying x = -1
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