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Simplifying 7(x + -3) + -10 = 5(x + -3) + -10 Reorder the terms: 7(-3 + x) + -10 = 5(x + -3) + -10 (-3 * 7 + x * 7) + -10 = 5(x + -3) + -10 (-21 + 7x) + -10 = 5(x + -3) + -10 Reorder the terms: -21 + -10 + 7x = 5(x + -3) + -10 Combine like terms: -21 + -10 = -31 -31 + 7x = 5(x + -3) + -10 Reorder the terms: -31 + 7x = 5(-3 + x) + -10 -31 + 7x = (-3 * 5 + x * 5) + -10 -31 + 7x = (-15 + 5x) + -10 Reorder the terms: -31 + 7x = -15 + -10 + 5x Combine like terms: -15 + -10 = -25 -31 + 7x = -25 + 5x Solving -31 + 7x = -25 + 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. -31 + 7x + -5x = -25 + 5x + -5x Combine like terms: 7x + -5x = 2x -31 + 2x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + 2x = -25 + 0 -31 + 2x = -25 Add '31' to each side of the equation. -31 + 31 + 2x = -25 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = -25 + 31 2x = -25 + 31 Combine like terms: -25 + 31 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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