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Simplifying 7(x + -2) + 3x = 6x + 18 Reorder the terms: 7(-2 + x) + 3x = 6x + 18 (-2 * 7 + x * 7) + 3x = 6x + 18 (-14 + 7x) + 3x = 6x + 18 Combine like terms: 7x + 3x = 10x -14 + 10x = 6x + 18 Reorder the terms: -14 + 10x = 18 + 6x Solving -14 + 10x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 10x + -6x = 18 + 6x + -6x Combine like terms: 10x + -6x = 4x -14 + 4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 4x = 18 + 0 -14 + 4x = 18 Add '14' to each side of the equation. -14 + 14 + 4x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 18 + 14 4x = 18 + 14 Combine like terms: 18 + 14 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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