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Simplifying 4x + 6 + 2x + 12 = 14x + 1 + -2x + 11 Reorder the terms: 6 + 12 + 4x + 2x = 14x + 1 + -2x + 11 Combine like terms: 6 + 12 = 18 18 + 4x + 2x = 14x + 1 + -2x + 11 Combine like terms: 4x + 2x = 6x 18 + 6x = 14x + 1 + -2x + 11 Reorder the terms: 18 + 6x = 1 + 11 + 14x + -2x Combine like terms: 1 + 11 = 12 18 + 6x = 12 + 14x + -2x Combine like terms: 14x + -2x = 12x 18 + 6x = 12 + 12x Solving 18 + 6x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 6x + -12x = 12 + 12x + -12x Combine like terms: 6x + -12x = -6x 18 + -6x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -6x = 12 + 0 18 + -6x = 12 Add '-18' to each side of the equation. 18 + -18 + -6x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 12 + -18 -6x = 12 + -18 Combine like terms: 12 + -18 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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