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Simplifying 7(x + -2) + 16 = 3(2 + 3x) Reorder the terms: 7(-2 + x) + 16 = 3(2 + 3x) (-2 * 7 + x * 7) + 16 = 3(2 + 3x) (-14 + 7x) + 16 = 3(2 + 3x) Reorder the terms: -14 + 16 + 7x = 3(2 + 3x) Combine like terms: -14 + 16 = 2 2 + 7x = 3(2 + 3x) 2 + 7x = (2 * 3 + 3x * 3) 2 + 7x = (6 + 9x) Solving 2 + 7x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 7x + -9x = 6 + 9x + -9x Combine like terms: 7x + -9x = -2x 2 + -2x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -2x = 6 + 0 2 + -2x = 6 Add '-2' to each side of the equation. 2 + -2 + -2x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 6 + -2 -2x = 6 + -2 Combine like terms: 6 + -2 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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