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Simplifying 4(3x + -9) + -4 = 4(x + -4) + 24 Reorder the terms: 4(-9 + 3x) + -4 = 4(x + -4) + 24 (-9 * 4 + 3x * 4) + -4 = 4(x + -4) + 24 (-36 + 12x) + -4 = 4(x + -4) + 24 Reorder the terms: -36 + -4 + 12x = 4(x + -4) + 24 Combine like terms: -36 + -4 = -40 -40 + 12x = 4(x + -4) + 24 Reorder the terms: -40 + 12x = 4(-4 + x) + 24 -40 + 12x = (-4 * 4 + x * 4) + 24 -40 + 12x = (-16 + 4x) + 24 Reorder the terms: -40 + 12x = -16 + 24 + 4x Combine like terms: -16 + 24 = 8 -40 + 12x = 8 + 4x Solving -40 + 12x = 8 + 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. -40 + 12x + -4x = 8 + 4x + -4x Combine like terms: 12x + -4x = 8x -40 + 8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 8x = 8 + 0 -40 + 8x = 8 Add '40' to each side of the equation. -40 + 40 + 8x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = 8 + 40 8x = 8 + 40 Combine like terms: 8 + 40 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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