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Simplifying 5x + -6 = 6(x + 7) Reorder the terms: -6 + 5x = 6(x + 7) Reorder the terms: -6 + 5x = 6(7 + x) -6 + 5x = (7 * 6 + x * 6) -6 + 5x = (42 + 6x) Solving -6 + 5x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 5x + -6x = 42 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = 42 + 0 -6 + -1x = 42 Add '6' to each side of the equation. -6 + 6 + -1x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 42 + 6 -1x = 42 + 6 Combine like terms: 42 + 6 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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