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Simplifying 16 + -1(3x + 20) = (17 + -2x) + -15 Reorder the terms: 16 + -1(20 + 3x) = (17 + -2x) + -15 16 + (20 * -1 + 3x * -1) = (17 + -2x) + -15 16 + (-20 + -3x) = (17 + -2x) + -15 Combine like terms: 16 + -20 = -4 -4 + -3x = (17 + -2x) + -15 Remove parenthesis around (17 + -2x) -4 + -3x = 17 + -2x + -15 Reorder the terms: -4 + -3x = 17 + -15 + -2x Combine like terms: 17 + -15 = 2 -4 + -3x = 2 + -2x Solving -4 + -3x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + -3x + 2x = 2 + -2x + 2x Combine like terms: -3x + 2x = -1x -4 + -1x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -1x = 2 + 0 -4 + -1x = 2 Add '4' to each side of the equation. -4 + 4 + -1x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 2 + 4 -1x = 2 + 4 Combine like terms: 2 + 4 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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