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Simplifying 4(x + -8) + -1(-9x + -4) = 12x Reorder the terms: 4(-8 + x) + -1(-9x + -4) = 12x (-8 * 4 + x * 4) + -1(-9x + -4) = 12x (-32 + 4x) + -1(-9x + -4) = 12x Reorder the terms: -32 + 4x + -1(-4 + -9x) = 12x -32 + 4x + (-4 * -1 + -9x * -1) = 12x -32 + 4x + (4 + 9x) = 12x Reorder the terms: -32 + 4 + 4x + 9x = 12x Combine like terms: -32 + 4 = -28 -28 + 4x + 9x = 12x Combine like terms: 4x + 9x = 13x -28 + 13x = 12x Solving -28 + 13x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x -28 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 -28 + 1x = 0 Add '28' to each side of the equation. -28 + 28 + 1x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 0 + 28 1x = 0 + 28 Combine like terms: 0 + 28 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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