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Simplifying 4x + 13 + 2x + 18 = 7x + 12 Reorder the terms: 13 + 18 + 4x + 2x = 7x + 12 Combine like terms: 13 + 18 = 31 31 + 4x + 2x = 7x + 12 Combine like terms: 4x + 2x = 6x 31 + 6x = 7x + 12 Reorder the terms: 31 + 6x = 12 + 7x Solving 31 + 6x = 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. 31 + 6x + -7x = 12 + 7x + -7x Combine like terms: 6x + -7x = -1x 31 + -1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -1x = 12 + 0 31 + -1x = 12 Add '-31' to each side of the equation. 31 + -31 + -1x = 12 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 12 + -31 -1x = 12 + -31 Combine like terms: 12 + -31 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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