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Simplifying -11(1 + 5x) = -59 + -7x (1 * -11 + 5x * -11) = -59 + -7x (-11 + -55x) = -59 + -7x Solving -11 + -55x = -59 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -11 + -55x + 7x = -59 + -7x + 7x Combine like terms: -55x + 7x = -48x -11 + -48x = -59 + -7x + 7x Combine like terms: -7x + 7x = 0 -11 + -48x = -59 + 0 -11 + -48x = -59 Add '11' to each side of the equation. -11 + 11 + -48x = -59 + 11 Combine like terms: -11 + 11 = 0 0 + -48x = -59 + 11 -48x = -59 + 11 Combine like terms: -59 + 11 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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