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Simplifying 7(x + -2) + 4 = 5(x + 3) + -3 Reorder the terms: 7(-2 + x) + 4 = 5(x + 3) + -3 (-2 * 7 + x * 7) + 4 = 5(x + 3) + -3 (-14 + 7x) + 4 = 5(x + 3) + -3 Reorder the terms: -14 + 4 + 7x = 5(x + 3) + -3 Combine like terms: -14 + 4 = -10 -10 + 7x = 5(x + 3) + -3 Reorder the terms: -10 + 7x = 5(3 + x) + -3 -10 + 7x = (3 * 5 + x * 5) + -3 -10 + 7x = (15 + 5x) + -3 Reorder the terms: -10 + 7x = 15 + -3 + 5x Combine like terms: 15 + -3 = 12 -10 + 7x = 12 + 5x Solving -10 + 7x = 12 + 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. -10 + 7x + -5x = 12 + 5x + -5x Combine like terms: 7x + -5x = 2x -10 + 2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 2x = 12 + 0 -10 + 2x = 12 Add '10' to each side of the equation. -10 + 10 + 2x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 12 + 10 2x = 12 + 10 Combine like terms: 12 + 10 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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