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Simplifying -5(3x + -21) = (x + -31) + -3 Reorder the terms: -5(-21 + 3x) = (x + -31) + -3 (-21 * -5 + 3x * -5) = (x + -31) + -3 (105 + -15x) = (x + -31) + -3 Reorder the terms: 105 + -15x = (-31 + x) + -3 Remove parenthesis around (-31 + x) 105 + -15x = -31 + x + -3 Reorder the terms: 105 + -15x = -31 + -3 + x Combine like terms: -31 + -3 = -34 105 + -15x = -34 + x Solving 105 + -15x = -34 + x 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. 105 + -15x + -1x = -34 + x + -1x Combine like terms: -15x + -1x = -16x 105 + -16x = -34 + x + -1x Combine like terms: x + -1x = 0 105 + -16x = -34 + 0 105 + -16x = -34 Add '-105' to each side of the equation. 105 + -105 + -16x = -34 + -105 Combine like terms: 105 + -105 = 0 0 + -16x = -34 + -105 -16x = -34 + -105 Combine like terms: -34 + -105 = -139 -16x = -139 Divide each side by '-16'. x = 8.6875 Simplifying x = 8.6875
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