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Simplifying 6(2x + -5) + -2(x + 4) + -18x = 0 Reorder the terms: 6(-5 + 2x) + -2(x + 4) + -18x = 0 (-5 * 6 + 2x * 6) + -2(x + 4) + -18x = 0 (-30 + 12x) + -2(x + 4) + -18x = 0 Reorder the terms: -30 + 12x + -2(4 + x) + -18x = 0 -30 + 12x + (4 * -2 + x * -2) + -18x = 0 -30 + 12x + (-8 + -2x) + -18x = 0 Reorder the terms: -30 + -8 + 12x + -2x + -18x = 0 Combine like terms: -30 + -8 = -38 -38 + 12x + -2x + -18x = 0 Combine like terms: 12x + -2x = 10x -38 + 10x + -18x = 0 Combine like terms: 10x + -18x = -8x -38 + -8x = 0 Solving -38 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -8x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -8x = 0 + 38 -8x = 0 + 38 Combine like terms: 0 + 38 = 38 -8x = 38 Divide each side by '-8'. x = -4.75 Simplifying x = -4.75
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