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Simplifying -5(1 + 2x) = -7x + 16 (1 * -5 + 2x * -5) = -7x + 16 (-5 + -10x) = -7x + 16 Reorder the terms: -5 + -10x = 16 + -7x Solving -5 + -10x = 16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + -10x + 7x = 16 + -7x + 7x Combine like terms: -10x + 7x = -3x -5 + -3x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + -3x = 16 + 0 -5 + -3x = 16 Add '5' to each side of the equation. -5 + 5 + -3x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 16 + 5 -3x = 16 + 5 Combine like terms: 16 + 5 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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