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Simplifying 6x + -5 + -3x = 4x + -42 Reorder the terms: -5 + 6x + -3x = 4x + -42 Combine like terms: 6x + -3x = 3x -5 + 3x = 4x + -42 Reorder the terms: -5 + 3x = -42 + 4x Solving -5 + 3x = -42 + 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. -5 + 3x + -4x = -42 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = -42 + 0 -5 + -1x = -42 Add '5' to each side of the equation. -5 + 5 + -1x = -42 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -42 + 5 -1x = -42 + 5 Combine like terms: -42 + 5 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37
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