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Simplifying -40 + -7x = 8x + -7(8x + -6) Reorder the terms: -40 + -7x = 8x + -7(-6 + 8x) -40 + -7x = 8x + (-6 * -7 + 8x * -7) -40 + -7x = 8x + (42 + -56x) Reorder the terms: -40 + -7x = 42 + 8x + -56x Combine like terms: 8x + -56x = -48x -40 + -7x = 42 + -48x Solving -40 + -7x = 42 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -40 + -7x + 48x = 42 + -48x + 48x Combine like terms: -7x + 48x = 41x -40 + 41x = 42 + -48x + 48x Combine like terms: -48x + 48x = 0 -40 + 41x = 42 + 0 -40 + 41x = 42 Add '40' to each side of the equation. -40 + 40 + 41x = 42 + 40 Combine like terms: -40 + 40 = 0 0 + 41x = 42 + 40 41x = 42 + 40 Combine like terms: 42 + 40 = 82 41x = 82 Divide each side by '41'. x = 2 Simplifying x = 2
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