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Simplifying 5(5x + 2) = 6(4x + -4) + 27 Reorder the terms: 5(2 + 5x) = 6(4x + -4) + 27 (2 * 5 + 5x * 5) = 6(4x + -4) + 27 (10 + 25x) = 6(4x + -4) + 27 Reorder the terms: 10 + 25x = 6(-4 + 4x) + 27 10 + 25x = (-4 * 6 + 4x * 6) + 27 10 + 25x = (-24 + 24x) + 27 Reorder the terms: 10 + 25x = -24 + 27 + 24x Combine like terms: -24 + 27 = 3 10 + 25x = 3 + 24x Solving 10 + 25x = 3 + 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. 10 + 25x + -24x = 3 + 24x + -24x Combine like terms: 25x + -24x = 1x 10 + 1x = 3 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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