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Simplifying 5x + 4 = 6x + -42 + 8 Reorder the terms: 4 + 5x = 6x + -42 + 8 Reorder the terms: 4 + 5x = -42 + 8 + 6x Combine like terms: -42 + 8 = -34 4 + 5x = -34 + 6x Solving 4 + 5x = -34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 5x + -6x = -34 + 6x + -6x Combine like terms: 5x + -6x = -1x 4 + -1x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -1x = -34 + 0 4 + -1x = -34 Add '-4' to each side of the equation. 4 + -4 + -1x = -34 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -34 + -4 -1x = -34 + -4 Combine like terms: -34 + -4 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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