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Simplifying -12(x + 1) = 4(x + -21) Reorder the terms: -12(1 + x) = 4(x + -21) (1 * -12 + x * -12) = 4(x + -21) (-12 + -12x) = 4(x + -21) Reorder the terms: -12 + -12x = 4(-21 + x) -12 + -12x = (-21 * 4 + x * 4) -12 + -12x = (-84 + 4x) Solving -12 + -12x = -84 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -12x + -4x = -84 + 4x + -4x Combine like terms: -12x + -4x = -16x -12 + -16x = -84 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -16x = -84 + 0 -12 + -16x = -84 Add '12' to each side of the equation. -12 + 12 + -16x = -84 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = -84 + 12 -16x = -84 + 12 Combine like terms: -84 + 12 = -72 -16x = -72 Divide each side by '-16'. x = 4.5 Simplifying x = 4.5
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