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Simplifying 3(x + -8) = 2x + -1(7x + 12) Reorder the terms: 3(-8 + x) = 2x + -1(7x + 12) (-8 * 3 + x * 3) = 2x + -1(7x + 12) (-24 + 3x) = 2x + -1(7x + 12) Reorder the terms: -24 + 3x = 2x + -1(12 + 7x) -24 + 3x = 2x + (12 * -1 + 7x * -1) -24 + 3x = 2x + (-12 + -7x) Reorder the terms: -24 + 3x = -12 + 2x + -7x Combine like terms: 2x + -7x = -5x -24 + 3x = -12 + -5x Solving -24 + 3x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + 3x + 5x = -12 + -5x + 5x Combine like terms: 3x + 5x = 8x -24 + 8x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 8x = -12 + 0 -24 + 8x = -12 Add '24' to each side of the equation. -24 + 24 + 8x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = -12 + 24 8x = -12 + 24 Combine like terms: -12 + 24 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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