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Simplifying 11 + -14x + 28 + 30x = 4x + -12 + 23 + 6x Reorder the terms: 11 + 28 + -14x + 30x = 4x + -12 + 23 + 6x Combine like terms: 11 + 28 = 39 39 + -14x + 30x = 4x + -12 + 23 + 6x Combine like terms: -14x + 30x = 16x 39 + 16x = 4x + -12 + 23 + 6x Reorder the terms: 39 + 16x = -12 + 23 + 4x + 6x Combine like terms: -12 + 23 = 11 39 + 16x = 11 + 4x + 6x Combine like terms: 4x + 6x = 10x 39 + 16x = 11 + 10x Solving 39 + 16x = 11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 39 + 16x + -10x = 11 + 10x + -10x Combine like terms: 16x + -10x = 6x 39 + 6x = 11 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + 6x = 11 + 0 39 + 6x = 11 Add '-39' to each side of the equation. 39 + -39 + 6x = 11 + -39 Combine like terms: 39 + -39 = 0 0 + 6x = 11 + -39 6x = 11 + -39 Combine like terms: 11 + -39 = -28 6x = -28 Divide each side by '6'. x = -4.666666667 Simplifying x = -4.666666667
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