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Simplifying -2x + 10 + 7 = 5(x + 4) Reorder the terms: 10 + 7 + -2x = 5(x + 4) Combine like terms: 10 + 7 = 17 17 + -2x = 5(x + 4) Reorder the terms: 17 + -2x = 5(4 + x) 17 + -2x = (4 * 5 + x * 5) 17 + -2x = (20 + 5x) Solving 17 + -2x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -2x + -5x = 20 + 5x + -5x Combine like terms: -2x + -5x = -7x 17 + -7x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -7x = 20 + 0 17 + -7x = 20 Add '-17' to each side of the equation. 17 + -17 + -7x = 20 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 20 + -17 -7x = 20 + -17 Combine like terms: 20 + -17 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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