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Simplifying 13 + -1(3x + 12) = 5x + (21 + -4x) Reorder the terms: 13 + -1(12 + 3x) = 5x + (21 + -4x) 13 + (12 * -1 + 3x * -1) = 5x + (21 + -4x) 13 + (-12 + -3x) = 5x + (21 + -4x) Combine like terms: 13 + -12 = 1 1 + -3x = 5x + (21 + -4x) Remove parenthesis around (21 + -4x) 1 + -3x = 5x + 21 + -4x Reorder the terms: 1 + -3x = 21 + 5x + -4x Combine like terms: 5x + -4x = 1x 1 + -3x = 21 + 1x Solving 1 + -3x = 21 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -3x + -1x = 21 + 1x + -1x Combine like terms: -3x + -1x = -4x 1 + -4x = 21 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -4x = 21 + 0 1 + -4x = 21 Add '-1' to each side of the equation. 1 + -1 + -4x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 21 + -1 -4x = 21 + -1 Combine like terms: 21 + -1 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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