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Simplifying 10(5x + -7) + 6 = 4x + -8 Reorder the terms: 10(-7 + 5x) + 6 = 4x + -8 (-7 * 10 + 5x * 10) + 6 = 4x + -8 (-70 + 50x) + 6 = 4x + -8 Reorder the terms: -70 + 6 + 50x = 4x + -8 Combine like terms: -70 + 6 = -64 -64 + 50x = 4x + -8 Reorder the terms: -64 + 50x = -8 + 4x Solving -64 + 50x = -8 + 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. -64 + 50x + -4x = -8 + 4x + -4x Combine like terms: 50x + -4x = 46x -64 + 46x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + 46x = -8 + 0 -64 + 46x = -8 Add '64' to each side of the equation. -64 + 64 + 46x = -8 + 64 Combine like terms: -64 + 64 = 0 0 + 46x = -8 + 64 46x = -8 + 64 Combine like terms: -8 + 64 = 56 46x = 56 Divide each side by '46'. x = 1.217391304 Simplifying x = 1.217391304
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