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Simplifying -4(6 + 6x) + 7 = -5(1 + 6x) (6 * -4 + 6x * -4) + 7 = -5(1 + 6x) (-24 + -24x) + 7 = -5(1 + 6x) Reorder the terms: -24 + 7 + -24x = -5(1 + 6x) Combine like terms: -24 + 7 = -17 -17 + -24x = -5(1 + 6x) -17 + -24x = (1 * -5 + 6x * -5) -17 + -24x = (-5 + -30x) Solving -17 + -24x = -5 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -17 + -24x + 30x = -5 + -30x + 30x Combine like terms: -24x + 30x = 6x -17 + 6x = -5 + -30x + 30x Combine like terms: -30x + 30x = 0 -17 + 6x = -5 + 0 -17 + 6x = -5 Add '17' to each side of the equation. -17 + 17 + 6x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = -5 + 17 6x = -5 + 17 Combine like terms: -5 + 17 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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