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Simplifying -5(2x + -21) = 2(x + -5) + -29 Reorder the terms: -5(-21 + 2x) = 2(x + -5) + -29 (-21 * -5 + 2x * -5) = 2(x + -5) + -29 (105 + -10x) = 2(x + -5) + -29 Reorder the terms: 105 + -10x = 2(-5 + x) + -29 105 + -10x = (-5 * 2 + x * 2) + -29 105 + -10x = (-10 + 2x) + -29 Reorder the terms: 105 + -10x = -10 + -29 + 2x Combine like terms: -10 + -29 = -39 105 + -10x = -39 + 2x Solving 105 + -10x = -39 + 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. 105 + -10x + -2x = -39 + 2x + -2x Combine like terms: -10x + -2x = -12x 105 + -12x = -39 + 2x + -2x Combine like terms: 2x + -2x = 0 105 + -12x = -39 + 0 105 + -12x = -39 Add '-105' to each side of the equation. 105 + -105 + -12x = -39 + -105 Combine like terms: 105 + -105 = 0 0 + -12x = -39 + -105 -12x = -39 + -105 Combine like terms: -39 + -105 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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