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Simplifying 2x + 38 = 10x + -42 Reorder the terms: 38 + 2x = 10x + -42 Reorder the terms: 38 + 2x = -42 + 10x Solving 38 + 2x = -42 + 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. 38 + 2x + -10x = -42 + 10x + -10x Combine like terms: 2x + -10x = -8x 38 + -8x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 38 + -8x = -42 + 0 38 + -8x = -42 Add '-38' to each side of the equation. 38 + -38 + -8x = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = -42 + -38 -8x = -42 + -38 Combine like terms: -42 + -38 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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