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Simplifying 6x + -1(4x + 8) = 4x + -42 Reorder the terms: 6x + -1(8 + 4x) = 4x + -42 6x + (8 * -1 + 4x * -1) = 4x + -42 6x + (-8 + -4x) = 4x + -42 Reorder the terms: -8 + 6x + -4x = 4x + -42 Combine like terms: 6x + -4x = 2x -8 + 2x = 4x + -42 Reorder the terms: -8 + 2x = -42 + 4x Solving -8 + 2x = -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. -8 + 2x + -4x = -42 + 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = -42 + 0 -8 + -2x = -42 Add '8' to each side of the equation. -8 + 8 + -2x = -42 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -42 + 8 -2x = -42 + 8 Combine like terms: -42 + 8 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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