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Simplifying 6x + -42 + -48 = 4x + -32 Reorder the terms: -42 + -48 + 6x = 4x + -32 Combine like terms: -42 + -48 = -90 -90 + 6x = 4x + -32 Reorder the terms: -90 + 6x = -32 + 4x Solving -90 + 6x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -90 + 6x + -4x = -32 + 4x + -4x Combine like terms: 6x + -4x = 2x -90 + 2x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -90 + 2x = -32 + 0 -90 + 2x = -32 Add '90' to each side of the equation. -90 + 90 + 2x = -32 + 90 Combine like terms: -90 + 90 = 0 0 + 2x = -32 + 90 2x = -32 + 90 Combine like terms: -32 + 90 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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