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Simplifying 5(5x + 1) = 6(4x + -2) Reorder the terms: 5(1 + 5x) = 6(4x + -2) (1 * 5 + 5x * 5) = 6(4x + -2) (5 + 25x) = 6(4x + -2) Reorder the terms: 5 + 25x = 6(-2 + 4x) 5 + 25x = (-2 * 6 + 4x * 6) 5 + 25x = (-12 + 24x) Solving 5 + 25x = -12 + 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. 5 + 25x + -24x = -12 + 24x + -24x Combine like terms: 25x + -24x = 1x 5 + 1x = -12 + 24x + -24x Combine like terms: 24x + -24x = 0 5 + 1x = -12 + 0 5 + 1x = -12 Add '-5' to each side of the equation. 5 + -5 + 1x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -12 + -5 1x = -12 + -5 Combine like terms: -12 + -5 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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