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Simplifying 6(4x + -12) + 7 = 55 Reorder the terms: 6(-12 + 4x) + 7 = 55 (-12 * 6 + 4x * 6) + 7 = 55 (-72 + 24x) + 7 = 55 Reorder the terms: -72 + 7 + 24x = 55 Combine like terms: -72 + 7 = -65 -65 + 24x = 55 Solving -65 + 24x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 24x = 55 + 65 Combine like terms: -65 + 65 = 0 0 + 24x = 55 + 65 24x = 55 + 65 Combine like terms: 55 + 65 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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