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Simplifying -6(x + 5) = 2(x + 21) Reorder the terms: -6(5 + x) = 2(x + 21) (5 * -6 + x * -6) = 2(x + 21) (-30 + -6x) = 2(x + 21) Reorder the terms: -30 + -6x = 2(21 + x) -30 + -6x = (21 * 2 + x * 2) -30 + -6x = (42 + 2x) Solving -30 + -6x = 42 + 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. -30 + -6x + -2x = 42 + 2x + -2x Combine like terms: -6x + -2x = -8x -30 + -8x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + -8x = 42 + 0 -30 + -8x = 42 Add '30' to each side of the equation. -30 + 30 + -8x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = 42 + 30 -8x = 42 + 30 Combine like terms: 42 + 30 = 72 -8x = 72 Divide each side by '-8'. x = -9 Simplifying x = -9
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