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Simplifying 7 + -5(x + -2) = 4 + 2(x + -5) Reorder the terms: 7 + -5(-2 + x) = 4 + 2(x + -5) 7 + (-2 * -5 + x * -5) = 4 + 2(x + -5) 7 + (10 + -5x) = 4 + 2(x + -5) Combine like terms: 7 + 10 = 17 17 + -5x = 4 + 2(x + -5) Reorder the terms: 17 + -5x = 4 + 2(-5 + x) 17 + -5x = 4 + (-5 * 2 + x * 2) 17 + -5x = 4 + (-10 + 2x) Combine like terms: 4 + -10 = -6 17 + -5x = -6 + 2x Solving 17 + -5x = -6 + 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 = -6 + 2x + -2x Combine like terms: -5x + -2x = -7x 17 + -7x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -7x = -6 + 0 17 + -7x = -6 Add '-17' to each side of the equation. 17 + -17 + -7x = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = -6 + -17 -7x = -6 + -17 Combine like terms: -6 + -17 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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