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Simplifying 6x + -14 + 12x + 8 = 30x + 54 + 3 Reorder the terms: -14 + 8 + 6x + 12x = 30x + 54 + 3 Combine like terms: -14 + 8 = -6 -6 + 6x + 12x = 30x + 54 + 3 Combine like terms: 6x + 12x = 18x -6 + 18x = 30x + 54 + 3 Reorder the terms: -6 + 18x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 -6 + 18x = 57 + 30x Solving -6 + 18x = 57 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6 + 18x + -30x = 57 + 30x + -30x Combine like terms: 18x + -30x = -12x -6 + -12x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 -6 + -12x = 57 + 0 -6 + -12x = 57 Add '6' to each side of the equation. -6 + 6 + -12x = 57 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 57 + 6 -12x = 57 + 6 Combine like terms: 57 + 6 = 63 -12x = 63 Divide each side by '-12'. x = -5.25 Simplifying x = -5.25
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