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Simplifying 4x + -42 + 8 = 6x + -4 Reorder the terms: -42 + 8 + 4x = 6x + -4 Combine like terms: -42 + 8 = -34 -34 + 4x = 6x + -4 Reorder the terms: -34 + 4x = -4 + 6x Solving -34 + 4x = -4 + 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. -34 + 4x + -6x = -4 + 6x + -6x Combine like terms: 4x + -6x = -2x -34 + -2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + -2x = -4 + 0 -34 + -2x = -4 Add '34' to each side of the equation. -34 + 34 + -2x = -4 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -4 + 34 -2x = -4 + 34 Combine like terms: -4 + 34 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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