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Simplifying 2(x + 3) + -1(4 + 5x) = 16 + 4x Reorder the terms: 2(3 + x) + -1(4 + 5x) = 16 + 4x (3 * 2 + x * 2) + -1(4 + 5x) = 16 + 4x (6 + 2x) + -1(4 + 5x) = 16 + 4x 6 + 2x + (4 * -1 + 5x * -1) = 16 + 4x 6 + 2x + (-4 + -5x) = 16 + 4x Reorder the terms: 6 + -4 + 2x + -5x = 16 + 4x Combine like terms: 6 + -4 = 2 2 + 2x + -5x = 16 + 4x Combine like terms: 2x + -5x = -3x 2 + -3x = 16 + 4x Solving 2 + -3x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -3x + -4x = 16 + 4x + -4x Combine like terms: -3x + -4x = -7x 2 + -7x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -7x = 16 + 0 2 + -7x = 16 Add '-2' to each side of the equation. 2 + -2 + -7x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 16 + -2 -7x = 16 + -2 Combine like terms: 16 + -2 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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