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Simplifying 9x + -1(3x + 4) = 4x + -42 Reorder the terms: 9x + -1(4 + 3x) = 4x + -42 9x + (4 * -1 + 3x * -1) = 4x + -42 9x + (-4 + -3x) = 4x + -42 Reorder the terms: -4 + 9x + -3x = 4x + -42 Combine like terms: 9x + -3x = 6x -4 + 6x = 4x + -42 Reorder the terms: -4 + 6x = -42 + 4x Solving -4 + 6x = -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. -4 + 6x + -4x = -42 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 2x = -42 + 0 -4 + 2x = -42 Add '4' to each side of the equation. -4 + 4 + 2x = -42 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -42 + 4 2x = -42 + 4 Combine like terms: -42 + 4 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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