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Simplifying 2x + 7 + 3x + -18 = 7x + 1 Reorder the terms: 7 + -18 + 2x + 3x = 7x + 1 Combine like terms: 7 + -18 = -11 -11 + 2x + 3x = 7x + 1 Combine like terms: 2x + 3x = 5x -11 + 5x = 7x + 1 Reorder the terms: -11 + 5x = 1 + 7x Solving -11 + 5x = 1 + 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. -11 + 5x + -7x = 1 + 7x + -7x Combine like terms: 5x + -7x = -2x -11 + -2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -2x = 1 + 0 -11 + -2x = 1 Add '11' to each side of the equation. -11 + 11 + -2x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 1 + 11 -2x = 1 + 11 Combine like terms: 1 + 11 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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