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Simplifying 5(4x + -4) + -4(x + 1) + -18x = 0 Reorder the terms: 5(-4 + 4x) + -4(x + 1) + -18x = 0 (-4 * 5 + 4x * 5) + -4(x + 1) + -18x = 0 (-20 + 20x) + -4(x + 1) + -18x = 0 Reorder the terms: -20 + 20x + -4(1 + x) + -18x = 0 -20 + 20x + (1 * -4 + x * -4) + -18x = 0 -20 + 20x + (-4 + -4x) + -18x = 0 Reorder the terms: -20 + -4 + 20x + -4x + -18x = 0 Combine like terms: -20 + -4 = -24 -24 + 20x + -4x + -18x = 0 Combine like terms: 20x + -4x = 16x -24 + 16x + -18x = 0 Combine like terms: 16x + -18x = -2x -24 + -2x = 0 Solving -24 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 0 + 24 -2x = 0 + 24 Combine like terms: 0 + 24 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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