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Simplifying 5(4x + -12) + 3 = 11x + 6 Reorder the terms: 5(-12 + 4x) + 3 = 11x + 6 (-12 * 5 + 4x * 5) + 3 = 11x + 6 (-60 + 20x) + 3 = 11x + 6 Reorder the terms: -60 + 3 + 20x = 11x + 6 Combine like terms: -60 + 3 = -57 -57 + 20x = 11x + 6 Reorder the terms: -57 + 20x = 6 + 11x Solving -57 + 20x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -57 + 20x + -11x = 6 + 11x + -11x Combine like terms: 20x + -11x = 9x -57 + 9x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 -57 + 9x = 6 + 0 -57 + 9x = 6 Add '57' to each side of the equation. -57 + 57 + 9x = 6 + 57 Combine like terms: -57 + 57 = 0 0 + 9x = 6 + 57 9x = 6 + 57 Combine like terms: 6 + 57 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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