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Simplifying 8x + -42 = -6(x + -7) Reorder the terms: -42 + 8x = -6(x + -7) Reorder the terms: -42 + 8x = -6(-7 + x) -42 + 8x = (-7 * -6 + x * -6) -42 + 8x = (42 + -6x) Solving -42 + 8x = 42 + -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. -42 + 8x + 6x = 42 + -6x + 6x Combine like terms: 8x + 6x = 14x -42 + 14x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + 14x = 42 + 0 -42 + 14x = 42 Add '42' to each side of the equation. -42 + 42 + 14x = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 42 + 42 14x = 42 + 42 Combine like terms: 42 + 42 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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