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Simplifying 8(2x + -1) = 6(5x + -2) + -10 Reorder the terms: 8(-1 + 2x) = 6(5x + -2) + -10 (-1 * 8 + 2x * 8) = 6(5x + -2) + -10 (-8 + 16x) = 6(5x + -2) + -10 Reorder the terms: -8 + 16x = 6(-2 + 5x) + -10 -8 + 16x = (-2 * 6 + 5x * 6) + -10 -8 + 16x = (-12 + 30x) + -10 Reorder the terms: -8 + 16x = -12 + -10 + 30x Combine like terms: -12 + -10 = -22 -8 + 16x = -22 + 30x Solving -8 + 16x = -22 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -8 + 16x + -30x = -22 + 30x + -30x Combine like terms: 16x + -30x = -14x -8 + -14x = -22 + 30x + -30x Combine like terms: 30x + -30x = 0 -8 + -14x = -22 + 0 -8 + -14x = -22 Add '8' to each side of the equation. -8 + 8 + -14x = -22 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = -22 + 8 -14x = -22 + 8 Combine like terms: -22 + 8 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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