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Simplifying 5 + -1(3x + -21) = (4 + -2x) + -8 Reorder the terms: 5 + -1(-21 + 3x) = (4 + -2x) + -8 5 + (-21 * -1 + 3x * -1) = (4 + -2x) + -8 5 + (21 + -3x) = (4 + -2x) + -8 Combine like terms: 5 + 21 = 26 26 + -3x = (4 + -2x) + -8 Remove parenthesis around (4 + -2x) 26 + -3x = 4 + -2x + -8 Reorder the terms: 26 + -3x = 4 + -8 + -2x Combine like terms: 4 + -8 = -4 26 + -3x = -4 + -2x Solving 26 + -3x = -4 + -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. 26 + -3x + 2x = -4 + -2x + 2x Combine like terms: -3x + 2x = -1x 26 + -1x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 26 + -1x = -4 + 0 26 + -1x = -4 Add '-26' to each side of the equation. 26 + -26 + -1x = -4 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = -4 + -26 -1x = -4 + -26 Combine like terms: -4 + -26 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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