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Simplifying 5(x + -2) + -7 = 2(x + 4) Reorder the terms: 5(-2 + x) + -7 = 2(x + 4) (-2 * 5 + x * 5) + -7 = 2(x + 4) (-10 + 5x) + -7 = 2(x + 4) Reorder the terms: -10 + -7 + 5x = 2(x + 4) Combine like terms: -10 + -7 = -17 -17 + 5x = 2(x + 4) Reorder the terms: -17 + 5x = 2(4 + x) -17 + 5x = (4 * 2 + x * 2) -17 + 5x = (8 + 2x) Solving -17 + 5x = 8 + 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. -17 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -17 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 3x = 8 + 0 -17 + 3x = 8 Add '17' to each side of the equation. -17 + 17 + 3x = 8 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 8 + 17 3x = 8 + 17 Combine like terms: 8 + 17 = 25 3x = 25 Divide each side by '3'. x = 8.333333333 Simplifying x = 8.333333333
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