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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 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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