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Simplifying 12 + 3x + 1 = 40 + -12x + 6x Reorder the terms: 12 + 1 + 3x = 40 + -12x + 6x Combine like terms: 12 + 1 = 13 13 + 3x = 40 + -12x + 6x Combine like terms: -12x + 6x = -6x 13 + 3x = 40 + -6x Solving 13 + 3x = 40 + -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. 13 + 3x + 6x = 40 + -6x + 6x Combine like terms: 3x + 6x = 9x 13 + 9x = 40 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 9x = 40 + 0 13 + 9x = 40 Add '-13' to each side of the equation. 13 + -13 + 9x = 40 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 40 + -13 9x = 40 + -13 Combine like terms: 40 + -13 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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