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Simplifying 1 + 3x + 3x = 6x + 5 + -4x + 12 Combine like terms: 3x + 3x = 6x 1 + 6x = 6x + 5 + -4x + 12 Reorder the terms: 1 + 6x = 5 + 12 + 6x + -4x Combine like terms: 5 + 12 = 17 1 + 6x = 17 + 6x + -4x Combine like terms: 6x + -4x = 2x 1 + 6x = 17 + 2x Solving 1 + 6x = 17 + 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. 1 + 6x + -2x = 17 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 17 + 0 1 + 4x = 17 Add '-1' to each side of the equation. 1 + -1 + 4x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 17 + -1 4x = 17 + -1 Combine like terms: 17 + -1 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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