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Simplifying 2x + 12x + -14 + -108 = 24x + 30 Reorder the terms: -14 + -108 + 2x + 12x = 24x + 30 Combine like terms: -14 + -108 = -122 -122 + 2x + 12x = 24x + 30 Combine like terms: 2x + 12x = 14x -122 + 14x = 24x + 30 Reorder the terms: -122 + 14x = 30 + 24x Solving -122 + 14x = 30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -122 + 14x + -24x = 30 + 24x + -24x Combine like terms: 14x + -24x = -10x -122 + -10x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 -122 + -10x = 30 + 0 -122 + -10x = 30 Add '122' to each side of the equation. -122 + 122 + -10x = 30 + 122 Combine like terms: -122 + 122 = 0 0 + -10x = 30 + 122 -10x = 30 + 122 Combine like terms: 30 + 122 = 152 -10x = 152 Divide each side by '-10'. x = -15.2 Simplifying x = -15.2
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