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Simplifying 8x + -12 = 7x + -3(x + -8) Reorder the terms: -12 + 8x = 7x + -3(x + -8) Reorder the terms: -12 + 8x = 7x + -3(-8 + x) -12 + 8x = 7x + (-8 * -3 + x * -3) -12 + 8x = 7x + (24 + -3x) Reorder the terms: -12 + 8x = 24 + 7x + -3x Combine like terms: 7x + -3x = 4x -12 + 8x = 24 + 4x Solving -12 + 8x = 24 + 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 + 8x + -4x = 24 + 4x + -4x Combine like terms: 8x + -4x = 4x -12 + 4x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 4x = 24 + 0 -12 + 4x = 24 Add '12' to each side of the equation. -12 + 12 + 4x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 24 + 12 4x = 24 + 12 Combine like terms: 24 + 12 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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