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Simplifying 5x + -12 = 2(x + 5) + 7 Reorder the terms: -12 + 5x = 2(x + 5) + 7 Reorder the terms: -12 + 5x = 2(5 + x) + 7 -12 + 5x = (5 * 2 + x * 2) + 7 -12 + 5x = (10 + 2x) + 7 Reorder the terms: -12 + 5x = 10 + 7 + 2x Combine like terms: 10 + 7 = 17 -12 + 5x = 17 + 2x Solving -12 + 5x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 5x + -2x = 17 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = 17 + 0 -12 + 3x = 17 Add '12' to each side of the equation. -12 + 12 + 3x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 17 + 12 3x = 17 + 12 Combine like terms: 17 + 12 = 29 3x = 29 Divide each side by '3'. x = 9.666666667 Simplifying x = 9.666666667
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