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Simplifying -5x + -40 + 19x = -34 + 8x + 6 Reorder the terms: -40 + -5x + 19x = -34 + 8x + 6 Combine like terms: -5x + 19x = 14x -40 + 14x = -34 + 8x + 6 Reorder the terms: -40 + 14x = -34 + 6 + 8x Combine like terms: -34 + 6 = -28 -40 + 14x = -28 + 8x Solving -40 + 14x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 14x + -8x = -28 + 8x + -8x Combine like terms: 14x + -8x = 6x -40 + 6x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 6x = -28 + 0 -40 + 6x = -28 Add '40' to each side of the equation. -40 + 40 + 6x = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = -28 + 40 6x = -28 + 40 Combine like terms: -28 + 40 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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