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Simplifying -6x + 14 = -4(1 + 6x) Reorder the terms: 14 + -6x = -4(1 + 6x) 14 + -6x = (1 * -4 + 6x * -4) 14 + -6x = (-4 + -24x) Solving 14 + -6x = -4 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 14 + -6x + 24x = -4 + -24x + 24x Combine like terms: -6x + 24x = 18x 14 + 18x = -4 + -24x + 24x Combine like terms: -24x + 24x = 0 14 + 18x = -4 + 0 14 + 18x = -4 Add '-14' to each side of the equation. 14 + -14 + 18x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = -4 + -14 18x = -4 + -14 Combine like terms: -4 + -14 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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