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Simplifying 7x + -2(x + -5) = 3(x + -2) + -5x Reorder the terms: 7x + -2(-5 + x) = 3(x + -2) + -5x 7x + (-5 * -2 + x * -2) = 3(x + -2) + -5x 7x + (10 + -2x) = 3(x + -2) + -5x Reorder the terms: 10 + 7x + -2x = 3(x + -2) + -5x Combine like terms: 7x + -2x = 5x 10 + 5x = 3(x + -2) + -5x Reorder the terms: 10 + 5x = 3(-2 + x) + -5x 10 + 5x = (-2 * 3 + x * 3) + -5x 10 + 5x = (-6 + 3x) + -5x Combine like terms: 3x + -5x = -2x 10 + 5x = -6 + -2x Solving 10 + 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. 10 + 5x + 2x = -6 + -2x + 2x Combine like terms: 5x + 2x = 7x 10 + 7x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 7x = -6 + 0 10 + 7x = -6 Add '-10' to each side of the equation. 10 + -10 + 7x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -6 + -10 7x = -6 + -10 Combine like terms: -6 + -10 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286
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