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Simplifying -6(-6 + 7x) + -6x = 7x + -19 (-6 * -6 + 7x * -6) + -6x = 7x + -19 (36 + -42x) + -6x = 7x + -19 Combine like terms: -42x + -6x = -48x 36 + -48x = 7x + -19 Reorder the terms: 36 + -48x = -19 + 7x Solving 36 + -48x = -19 + 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. 36 + -48x + -7x = -19 + 7x + -7x Combine like terms: -48x + -7x = -55x 36 + -55x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -55x = -19 + 0 36 + -55x = -19 Add '-36' to each side of the equation. 36 + -36 + -55x = -19 + -36 Combine like terms: 36 + -36 = 0 0 + -55x = -19 + -36 -55x = -19 + -36 Combine like terms: -19 + -36 = -55 -55x = -55 Divide each side by '-55'. x = 1 Simplifying x = 1
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