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Simplifying 12x + 24 + 3x + 6 = 12x + 72 + -18x + -27 Reorder the terms: 24 + 6 + 12x + 3x = 12x + 72 + -18x + -27 Combine like terms: 24 + 6 = 30 30 + 12x + 3x = 12x + 72 + -18x + -27 Combine like terms: 12x + 3x = 15x 30 + 15x = 12x + 72 + -18x + -27 Reorder the terms: 30 + 15x = 72 + -27 + 12x + -18x Combine like terms: 72 + -27 = 45 30 + 15x = 45 + 12x + -18x Combine like terms: 12x + -18x = -6x 30 + 15x = 45 + -6x Solving 30 + 15x = 45 + -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. 30 + 15x + 6x = 45 + -6x + 6x Combine like terms: 15x + 6x = 21x 30 + 21x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + 21x = 45 + 0 30 + 21x = 45 Add '-30' to each side of the equation. 30 + -30 + 21x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = 45 + -30 21x = 45 + -30 Combine like terms: 45 + -30 = 15 21x = 15 Divide each side by '21'. x = 0.7142857143 Simplifying x = 0.7142857143
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