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Simplifying 8x + 19 + -4x = 9x + 54 Reorder the terms: 19 + 8x + -4x = 9x + 54 Combine like terms: 8x + -4x = 4x 19 + 4x = 9x + 54 Reorder the terms: 19 + 4x = 54 + 9x Solving 19 + 4x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 19 + 4x + -9x = 54 + 9x + -9x Combine like terms: 4x + -9x = -5x 19 + -5x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 19 + -5x = 54 + 0 19 + -5x = 54 Add '-19' to each side of the equation. 19 + -19 + -5x = 54 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 54 + -19 -5x = 54 + -19 Combine like terms: 54 + -19 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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