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Simplifying 3(x + -2) + 2(2x + 4) = 5(x + -1) + 16 Reorder the terms: 3(-2 + x) + 2(2x + 4) = 5(x + -1) + 16 (-2 * 3 + x * 3) + 2(2x + 4) = 5(x + -1) + 16 (-6 + 3x) + 2(2x + 4) = 5(x + -1) + 16 Reorder the terms: -6 + 3x + 2(4 + 2x) = 5(x + -1) + 16 -6 + 3x + (4 * 2 + 2x * 2) = 5(x + -1) + 16 -6 + 3x + (8 + 4x) = 5(x + -1) + 16 Reorder the terms: -6 + 8 + 3x + 4x = 5(x + -1) + 16 Combine like terms: -6 + 8 = 2 2 + 3x + 4x = 5(x + -1) + 16 Combine like terms: 3x + 4x = 7x 2 + 7x = 5(x + -1) + 16 Reorder the terms: 2 + 7x = 5(-1 + x) + 16 2 + 7x = (-1 * 5 + x * 5) + 16 2 + 7x = (-5 + 5x) + 16 Reorder the terms: 2 + 7x = -5 + 16 + 5x Combine like terms: -5 + 16 = 11 2 + 7x = 11 + 5x Solving 2 + 7x = 11 + 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. 2 + 7x + -5x = 11 + 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = 11 + 0 2 + 2x = 11 Add '-2' to each side of the equation. 2 + -2 + 2x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 11 + -2 2x = 11 + -2 Combine like terms: 11 + -2 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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