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Simplifying 3x + 7x + -12x + 5 = -4x + 18 Reorder the terms: 5 + 3x + 7x + -12x = -4x + 18 Combine like terms: 3x + 7x = 10x 5 + 10x + -12x = -4x + 18 Combine like terms: 10x + -12x = -2x 5 + -2x = -4x + 18 Reorder the terms: 5 + -2x = 18 + -4x Solving 5 + -2x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + -2x + 4x = 18 + -4x + 4x Combine like terms: -2x + 4x = 2x 5 + 2x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 2x = 18 + 0 5 + 2x = 18 Add '-5' to each side of the equation. 5 + -5 + 2x = 18 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 18 + -5 2x = 18 + -5 Combine like terms: 18 + -5 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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