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Simplifying 2x + 3(x + -4) = -4(x + 1) Reorder the terms: 2x + 3(-4 + x) = -4(x + 1) 2x + (-4 * 3 + x * 3) = -4(x + 1) 2x + (-12 + 3x) = -4(x + 1) Reorder the terms: -12 + 2x + 3x = -4(x + 1) Combine like terms: 2x + 3x = 5x -12 + 5x = -4(x + 1) Reorder the terms: -12 + 5x = -4(1 + x) -12 + 5x = (1 * -4 + x * -4) -12 + 5x = (-4 + -4x) Solving -12 + 5x = -4 + -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 + 5x + 4x = -4 + -4x + 4x Combine like terms: 5x + 4x = 9x -12 + 9x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 9x = -4 + 0 -12 + 9x = -4 Add '12' to each side of the equation. -12 + 12 + 9x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -4 + 12 9x = -4 + 12 Combine like terms: -4 + 12 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889
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