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Simplifying 4(6 + -7x) + 4(6x + -5) = 7 (6 * 4 + -7x * 4) + 4(6x + -5) = 7 (24 + -28x) + 4(6x + -5) = 7 Reorder the terms: 24 + -28x + 4(-5 + 6x) = 7 24 + -28x + (-5 * 4 + 6x * 4) = 7 24 + -28x + (-20 + 24x) = 7 Reorder the terms: 24 + -20 + -28x + 24x = 7 Combine like terms: 24 + -20 = 4 4 + -28x + 24x = 7 Combine like terms: -28x + 24x = -4x 4 + -4x = 7 Solving 4 + -4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -4x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 7 + -4 -4x = 7 + -4 Combine like terms: 7 + -4 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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