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Simplifying 5(3x + -7) + -2(x + 2) + -18x = 0 Reorder the terms: 5(-7 + 3x) + -2(x + 2) + -18x = 0 (-7 * 5 + 3x * 5) + -2(x + 2) + -18x = 0 (-35 + 15x) + -2(x + 2) + -18x = 0 Reorder the terms: -35 + 15x + -2(2 + x) + -18x = 0 -35 + 15x + (2 * -2 + x * -2) + -18x = 0 -35 + 15x + (-4 + -2x) + -18x = 0 Reorder the terms: -35 + -4 + 15x + -2x + -18x = 0 Combine like terms: -35 + -4 = -39 -39 + 15x + -2x + -18x = 0 Combine like terms: 15x + -2x = 13x -39 + 13x + -18x = 0 Combine like terms: 13x + -18x = -5x -39 + -5x = 0 Solving -39 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -5x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -5x = 0 + 39 -5x = 0 + 39 Combine like terms: 0 + 39 = 39 -5x = 39 Divide each side by '-5'. x = -7.8 Simplifying x = -7.8
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