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Simplifying 5(4x + -6) + -4(x + 1) + -18x = 0 Reorder the terms: 5(-6 + 4x) + -4(x + 1) + -18x = 0 (-6 * 5 + 4x * 5) + -4(x + 1) + -18x = 0 (-30 + 20x) + -4(x + 1) + -18x = 0 Reorder the terms: -30 + 20x + -4(1 + x) + -18x = 0 -30 + 20x + (1 * -4 + x * -4) + -18x = 0 -30 + 20x + (-4 + -4x) + -18x = 0 Reorder the terms: -30 + -4 + 20x + -4x + -18x = 0 Combine like terms: -30 + -4 = -34 -34 + 20x + -4x + -18x = 0 Combine like terms: 20x + -4x = 16x -34 + 16x + -18x = 0 Combine like terms: 16x + -18x = -2x -34 + -2x = 0 Solving -34 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -2x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = 0 + 34 -2x = 0 + 34 Combine like terms: 0 + 34 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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