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Simplifying 4(6x + 8) + 6(2 + -7) = 150 Reorder the terms: 4(8 + 6x) + 6(2 + -7) = 150 (8 * 4 + 6x * 4) + 6(2 + -7) = 150 (32 + 24x) + 6(2 + -7) = 150 Combine like terms: 2 + -7 = -5 32 + 24x + 6(-5) = 150 Multiply 6 * -5 32 + 24x + -30 = 150 Reorder the terms: 32 + -30 + 24x = 150 Combine like terms: 32 + -30 = 2 2 + 24x = 150 Solving 2 + 24x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 24x = 150 + -2 Combine like terms: 2 + -2 = 0 0 + 24x = 150 + -2 24x = 150 + -2 Combine like terms: 150 + -2 = 148 24x = 148 Divide each side by '24'. x = 6.166666667 Simplifying x = 6.166666667
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