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Simplifying 3x2 + -2x + -18x2 = 10x + -15x2 + 6 Reorder the terms: -2x + 3x2 + -18x2 = 10x + -15x2 + 6 Combine like terms: 3x2 + -18x2 = -15x2 -2x + -15x2 = 10x + -15x2 + 6 Reorder the terms: -2x + -15x2 = 6 + 10x + -15x2 Add '15x2' to each side of the equation. -2x + -15x2 + 15x2 = 6 + 10x + -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 -2x + 0 = 6 + 10x + -15x2 + 15x2 -2x = 6 + 10x + -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 -2x = 6 + 10x + 0 -2x = 6 + 10x Solving -2x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2x + -10x = 6 + 10x + -10x Combine like terms: -2x + -10x = -12x -12x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -12x = 6 + 0 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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