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Simplifying 4(3 + -1x) + 5 = 2x + -7x + 16 (3 * 4 + -1x * 4) + 5 = 2x + -7x + 16 (12 + -4x) + 5 = 2x + -7x + 16 Reorder the terms: 12 + 5 + -4x = 2x + -7x + 16 Combine like terms: 12 + 5 = 17 17 + -4x = 2x + -7x + 16 Reorder the terms: 17 + -4x = 16 + 2x + -7x Combine like terms: 2x + -7x = -5x 17 + -4x = 16 + -5x Solving 17 + -4x = 16 + -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. 17 + -4x + 5x = 16 + -5x + 5x Combine like terms: -4x + 5x = 1x 17 + 1x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 1x = 16 + 0 17 + 1x = 16 Add '-17' to each side of the equation. 17 + -17 + 1x = 16 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 16 + -17 1x = 16 + -17 Combine like terms: 16 + -17 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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