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Simplifying 6x + -1(4x + 7) = 9x + -42 Reorder the terms: 6x + -1(7 + 4x) = 9x + -42 6x + (7 * -1 + 4x * -1) = 9x + -42 6x + (-7 + -4x) = 9x + -42 Reorder the terms: -7 + 6x + -4x = 9x + -42 Combine like terms: 6x + -4x = 2x -7 + 2x = 9x + -42 Reorder the terms: -7 + 2x = -42 + 9x Solving -7 + 2x = -42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 2x + -9x = -42 + 9x + -9x Combine like terms: 2x + -9x = -7x -7 + -7x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -7x = -42 + 0 -7 + -7x = -42 Add '7' to each side of the equation. -7 + 7 + -7x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -42 + 7 -7x = -42 + 7 Combine like terms: -42 + 7 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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