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Simplifying 4 + -5x = 2x + -38 Reorder the terms: 4 + -5x = -38 + 2x Solving 4 + -5x = -38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -5x + -2x = -38 + 2x + -2x Combine like terms: -5x + -2x = -7x 4 + -7x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -7x = -38 + 0 4 + -7x = -38 Add '-4' to each side of the equation. 4 + -4 + -7x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -38 + -4 -7x = -38 + -4 Combine like terms: -38 + -4 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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