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Simplifying 300x + 51 = 6(4x + -6) Reorder the terms: 51 + 300x = 6(4x + -6) Reorder the terms: 51 + 300x = 6(-6 + 4x) 51 + 300x = (-6 * 6 + 4x * 6) 51 + 300x = (-36 + 24x) Solving 51 + 300x = -36 + 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. 51 + 300x + -24x = -36 + 24x + -24x Combine like terms: 300x + -24x = 276x 51 + 276x = -36 + 24x + -24x Combine like terms: 24x + -24x = 0 51 + 276x = -36 + 0 51 + 276x = -36 Add '-51' to each side of the equation. 51 + -51 + 276x = -36 + -51 Combine like terms: 51 + -51 = 0 0 + 276x = -36 + -51 276x = -36 + -51 Combine like terms: -36 + -51 = -87 276x = -87 Divide each side by '276'. x = -0.3152173913 Simplifying x = -0.3152173913
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