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Simplifying 5(3x + -7) + -2(x + 3) + -18x = 0 Reorder the terms: 5(-7 + 3x) + -2(x + 3) + -18x = 0 (-7 * 5 + 3x * 5) + -2(x + 3) + -18x = 0 (-35 + 15x) + -2(x + 3) + -18x = 0 Reorder the terms: -35 + 15x + -2(3 + x) + -18x = 0 -35 + 15x + (3 * -2 + x * -2) + -18x = 0 -35 + 15x + (-6 + -2x) + -18x = 0 Reorder the terms: -35 + -6 + 15x + -2x + -18x = 0 Combine like terms: -35 + -6 = -41 -41 + 15x + -2x + -18x = 0 Combine like terms: 15x + -2x = 13x -41 + 13x + -18x = 0 Combine like terms: 13x + -18x = -5x -41 + -5x = 0 Solving -41 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -5x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -5x = 0 + 41 -5x = 0 + 41 Combine like terms: 0 + 41 = 41 -5x = 41 Divide each side by '-5'. x = -8.2 Simplifying x = -8.2
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