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Simplifying -40 + 7x = 6x + -7(-6x + -6) Reorder the terms: -40 + 7x = 6x + -7(-6 + -6x) -40 + 7x = 6x + (-6 * -7 + -6x * -7) -40 + 7x = 6x + (42 + 42x) Reorder the terms: -40 + 7x = 42 + 6x + 42x Combine like terms: 6x + 42x = 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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