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Simplifying 4(4 + -1x) + 5(2x + -6) = -8 (4 * 4 + -1x * 4) + 5(2x + -6) = -8 (16 + -4x) + 5(2x + -6) = -8 Reorder the terms: 16 + -4x + 5(-6 + 2x) = -8 16 + -4x + (-6 * 5 + 2x * 5) = -8 16 + -4x + (-30 + 10x) = -8 Reorder the terms: 16 + -30 + -4x + 10x = -8 Combine like terms: 16 + -30 = -14 -14 + -4x + 10x = -8 Combine like terms: -4x + 10x = 6x -14 + 6x = -8 Solving -14 + 6x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -8 + 14 6x = -8 + 14 Combine like terms: -8 + 14 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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