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Simplifying 5(2 + -1x) + -7x = -3(x + 5) (2 * 5 + -1x * 5) + -7x = -3(x + 5) (10 + -5x) + -7x = -3(x + 5) Combine like terms: -5x + -7x = -12x 10 + -12x = -3(x + 5) Reorder the terms: 10 + -12x = -3(5 + x) 10 + -12x = (5 * -3 + x * -3) 10 + -12x = (-15 + -3x) Solving 10 + -12x = -15 + -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 + -12x + 3x = -15 + -3x + 3x Combine like terms: -12x + 3x = -9x 10 + -9x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -9x = -15 + 0 10 + -9x = -15 Add '-10' to each side of the equation. 10 + -10 + -9x = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -15 + -10 -9x = -15 + -10 Combine like terms: -15 + -10 = -25 -9x = -25 Divide each side by '-9'. x = 2.777777778 Simplifying x = 2.777777778
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