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Simplifying 4(7x + -8) = 4x + -6 Reorder the terms: 4(-8 + 7x) = 4x + -6 (-8 * 4 + 7x * 4) = 4x + -6 (-32 + 28x) = 4x + -6 Reorder the terms: -32 + 28x = -6 + 4x Solving -32 + 28x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -32 + 28x + -4x = -6 + 4x + -4x Combine like terms: 28x + -4x = 24x -32 + 24x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 24x = -6 + 0 -32 + 24x = -6 Add '32' to each side of the equation. -32 + 32 + 24x = -6 + 32 Combine like terms: -32 + 32 = 0 0 + 24x = -6 + 32 24x = -6 + 32 Combine like terms: -6 + 32 = 26 24x = 26 Divide each side by '24'. x = 1.083333333 Simplifying x = 1.083333333
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