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Simplifying 7(x + 2) + -4 = 3(x + 3) + -7 Reorder the terms: 7(2 + x) + -4 = 3(x + 3) + -7 (2 * 7 + x * 7) + -4 = 3(x + 3) + -7 (14 + 7x) + -4 = 3(x + 3) + -7 Reorder the terms: 14 + -4 + 7x = 3(x + 3) + -7 Combine like terms: 14 + -4 = 10 10 + 7x = 3(x + 3) + -7 Reorder the terms: 10 + 7x = 3(3 + x) + -7 10 + 7x = (3 * 3 + x * 3) + -7 10 + 7x = (9 + 3x) + -7 Reorder the terms: 10 + 7x = 9 + -7 + 3x Combine like terms: 9 + -7 = 2 10 + 7x = 2 + 3x Solving 10 + 7x = 2 + 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 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x 10 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 4x = 2 + 0 10 + 4x = 2 Add '-10' to each side of the equation. 10 + -10 + 4x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 2 + -10 4x = 2 + -10 Combine like terms: 2 + -10 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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