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Simplifying 5x2 + -3x + 18 = 5x2 + 7x + -12 Reorder the terms: 18 + -3x + 5x2 = 5x2 + 7x + -12 Reorder the terms: 18 + -3x + 5x2 = -12 + 7x + 5x2 Add '-5x2' to each side of the equation. 18 + -3x + 5x2 + -5x2 = -12 + 7x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 18 + -3x + 0 = -12 + 7x + 5x2 + -5x2 18 + -3x = -12 + 7x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 18 + -3x = -12 + 7x + 0 18 + -3x = -12 + 7x Solving 18 + -3x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + -3x + -7x = -12 + 7x + -7x Combine like terms: -3x + -7x = -10x 18 + -10x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -10x = -12 + 0 18 + -10x = -12 Add '-18' to each side of the equation. 18 + -18 + -10x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -12 + -18 -10x = -12 + -18 Combine like terms: -12 + -18 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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