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Simplifying 5x + -10 + x = 6x + 18 + -4x Reorder the terms: -10 + 5x + x = 6x + 18 + -4x Combine like terms: 5x + x = 6x -10 + 6x = 6x + 18 + -4x Reorder the terms: -10 + 6x = 18 + 6x + -4x Combine like terms: 6x + -4x = 2x -10 + 6x = 18 + 2x Solving -10 + 6x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 6x + -2x = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x -10 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 4x = 18 + 0 -10 + 4x = 18 Add '10' to each side of the equation. -10 + 10 + 4x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 18 + 10 4x = 18 + 10 Combine like terms: 18 + 10 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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