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Simplifying 5(2 + -1x) + 7x = -3(x + 2) (2 * 5 + -1x * 5) + 7x = -3(x + 2) (10 + -5x) + 7x = -3(x + 2) Combine like terms: -5x + 7x = 2x 10 + 2x = -3(x + 2) Reorder the terms: 10 + 2x = -3(2 + x) 10 + 2x = (2 * -3 + x * -3) 10 + 2x = (-6 + -3x) Solving 10 + 2x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 2x + 3x = -6 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = -6 + 0 10 + 5x = -6 Add '-10' to each side of the equation. 10 + -10 + 5x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -6 + -10 5x = -6 + -10 Combine like terms: -6 + -10 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2
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