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Simplifying 7(x + 3) + -2(2x + 4) = 16 Reorder the terms: 7(3 + x) + -2(2x + 4) = 16 (3 * 7 + x * 7) + -2(2x + 4) = 16 (21 + 7x) + -2(2x + 4) = 16 Reorder the terms: 21 + 7x + -2(4 + 2x) = 16 21 + 7x + (4 * -2 + 2x * -2) = 16 21 + 7x + (-8 + -4x) = 16 Reorder the terms: 21 + -8 + 7x + -4x = 16 Combine like terms: 21 + -8 = 13 13 + 7x + -4x = 16 Combine like terms: 7x + -4x = 3x 13 + 3x = 16 Solving 13 + 3x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 16 + -13 3x = 16 + -13 Combine like terms: 16 + -13 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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