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Simplifying 5x + -4(6x + 8) = 101 Reorder the terms: 5x + -4(8 + 6x) = 101 5x + (8 * -4 + 6x * -4) = 101 5x + (-32 + -24x) = 101 Reorder the terms: -32 + 5x + -24x = 101 Combine like terms: 5x + -24x = -19x -32 + -19x = 101 Solving -32 + -19x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -19x = 101 + 32 Combine like terms: -32 + 32 = 0 0 + -19x = 101 + 32 -19x = 101 + 32 Combine like terms: 101 + 32 = 133 -19x = 133 Divide each side by '-19'. x = -7 Simplifying x = -7
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