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Simplifying 7 + 6x = -1(3 + -7x) * 6 Reorder the terms for easier multiplication: 7 + 6x = -1 * 6(3 + -7x) Multiply -1 * 6 7 + 6x = -6(3 + -7x) 7 + 6x = (3 * -6 + -7x * -6) 7 + 6x = (-18 + 42x) Solving 7 + 6x = -18 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 7 + 6x + -42x = -18 + 42x + -42x Combine like terms: 6x + -42x = -36x 7 + -36x = -18 + 42x + -42x Combine like terms: 42x + -42x = 0 7 + -36x = -18 + 0 7 + -36x = -18 Add '-7' to each side of the equation. 7 + -7 + -36x = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -36x = -18 + -7 -36x = -18 + -7 Combine like terms: -18 + -7 = -25 -36x = -25 Divide each side by '-36'. x = 0.6944444444 Simplifying x = 0.6944444444
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