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Simplifying 1x + -12 = -8(1x + -3) Reorder the terms: -12 + 1x = -8(1x + -3) Reorder the terms: -12 + 1x = -8(-3 + 1x) -12 + 1x = (-3 * -8 + 1x * -8) -12 + 1x = (24 + -8x) Solving -12 + 1x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 1x + 8x = 24 + -8x + 8x Combine like terms: 1x + 8x = 9x -12 + 9x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 9x = 24 + 0 -12 + 9x = 24 Add '12' to each side of the equation. -12 + 12 + 9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 24 + 12 9x = 24 + 12 Combine like terms: 24 + 12 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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