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Simplifying 3(x + -4) = 4 + -1(4x + -5) Reorder the terms: 3(-4 + x) = 4 + -1(4x + -5) (-4 * 3 + x * 3) = 4 + -1(4x + -5) (-12 + 3x) = 4 + -1(4x + -5) Reorder the terms: -12 + 3x = 4 + -1(-5 + 4x) -12 + 3x = 4 + (-5 * -1 + 4x * -1) -12 + 3x = 4 + (5 + -4x) Combine like terms: 4 + 5 = 9 -12 + 3x = 9 + -4x Solving -12 + 3x = 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. -12 + 3x + 4x = 9 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 9 + 0 -12 + 7x = 9 Add '12' to each side of the equation. -12 + 12 + 7x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 9 + 12 7x = 9 + 12 Combine like terms: 9 + 12 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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