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Simplifying 7x + 1 = 6(x + -4) Reorder the terms: 1 + 7x = 6(x + -4) Reorder the terms: 1 + 7x = 6(-4 + x) 1 + 7x = (-4 * 6 + x * 6) 1 + 7x = (-24 + 6x) Solving 1 + 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. 1 + 7x + -6x = -24 + 6x + -6x Combine like terms: 7x + -6x = 1x 1 + 1x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 1x = -24 + 0 1 + 1x = -24 Add '-1' to each side of the equation. 1 + -1 + 1x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -24 + -1 1x = -24 + -1 Combine like terms: -24 + -1 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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