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Simplifying 10(x2 + 3) = -2x2 + x + 12x2 Reorder the terms: 10(3 + x2) = -2x2 + x + 12x2 (3 * 10 + x2 * 10) = -2x2 + x + 12x2 (30 + 10x2) = -2x2 + x + 12x2 Reorder the terms: 30 + 10x2 = x + -2x2 + 12x2 Combine like terms: -2x2 + 12x2 = 10x2 30 + 10x2 = x + 10x2 Add '-10x2' to each side of the equation. 30 + 10x2 + -10x2 = x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 30 + 0 = x + 10x2 + -10x2 30 = x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 30 = x + 0 30 = x Solving 30 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + -1x = x + -1x Combine like terms: x + -1x = 0 30 + -1x = 0 Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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