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Simplifying 7(1 + -6x) + -6x = 7 + -3x (1 * 7 + -6x * 7) + -6x = 7 + -3x (7 + -42x) + -6x = 7 + -3x Combine like terms: -42x + -6x = -48x 7 + -48x = 7 + -3x Add '-7' to each side of the equation. 7 + -7 + -48x = 7 + -7 + -3x Combine like terms: 7 + -7 = 0 0 + -48x = 7 + -7 + -3x -48x = 7 + -7 + -3x Combine like terms: 7 + -7 = 0 -48x = 0 + -3x -48x = -3x Solving -48x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -48x + 3x = -3x + 3x Combine like terms: -48x + 3x = -45x -45x = -3x + 3x Combine like terms: -3x + 3x = 0 -45x = 0 Divide each side by '-45'. x = 0 Simplifying x = 0
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