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Simplifying 12(x + -1) + 5 = 9 + 4x Reorder the terms: 12(-1 + x) + 5 = 9 + 4x (-1 * 12 + x * 12) + 5 = 9 + 4x (-12 + 12x) + 5 = 9 + 4x Reorder the terms: -12 + 5 + 12x = 9 + 4x Combine like terms: -12 + 5 = -7 -7 + 12x = 9 + 4x Solving -7 + 12x = 9 + 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. -7 + 12x + -4x = 9 + 4x + -4x Combine like terms: 12x + -4x = 8x -7 + 8x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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