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Simplifying 5x + -8 = 6(2x + 7) + 6 Reorder the terms: -8 + 5x = 6(2x + 7) + 6 Reorder the terms: -8 + 5x = 6(7 + 2x) + 6 -8 + 5x = (7 * 6 + 2x * 6) + 6 -8 + 5x = (42 + 12x) + 6 Reorder the terms: -8 + 5x = 42 + 6 + 12x Combine like terms: 42 + 6 = 48 -8 + 5x = 48 + 12x Solving -8 + 5x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 5x + -12x = 48 + 12x + -12x Combine like terms: 5x + -12x = -7x -8 + -7x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -7x = 48 + 0 -8 + -7x = 48 Add '8' to each side of the equation. -8 + 8 + -7x = 48 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 48 + 8 -7x = 48 + 8 Combine like terms: 48 + 8 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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