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Simplifying 7(1 + x) = 6(x + -4) (1 * 7 + x * 7) = 6(x + -4) (7 + 7x) = 6(x + -4) Reorder the terms: 7 + 7x = 6(-4 + x) 7 + 7x = (-4 * 6 + x * 6) 7 + 7x = (-24 + 6x) Solving 7 + 7x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 7x + -6x = -24 + 6x + -6x Combine like terms: 7x + -6x = 1x 7 + 1x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 1x = -24 + 0 7 + 1x = -24 Add '-7' to each side of the equation. 7 + -7 + 1x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -24 + -7 1x = -24 + -7 Combine like terms: -24 + -7 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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