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Simplifying 21 + -1(2x + 17) = -7 + -3x Reorder the terms: 21 + -1(17 + 2x) = -7 + -3x 21 + (17 * -1 + 2x * -1) = -7 + -3x 21 + (-17 + -2x) = -7 + -3x Combine like terms: 21 + -17 = 4 4 + -2x = -7 + -3x Solving 4 + -2x = -7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -2x + 3x = -7 + -3x + 3x Combine like terms: -2x + 3x = 1x 4 + 1x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 1x = -7 + 0 4 + 1x = -7 Add '-4' to each side of the equation. 4 + -4 + 1x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -7 + -4 1x = -7 + -4 Combine like terms: -7 + -4 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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