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Simplifying 6(-10 + 5x) = -4(-7 + -2x) (-10 * 6 + 5x * 6) = -4(-7 + -2x) (-60 + 30x) = -4(-7 + -2x) -60 + 30x = (-7 * -4 + -2x * -4) -60 + 30x = (28 + 8x) Solving -60 + 30x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -60 + 30x + -8x = 28 + 8x + -8x Combine like terms: 30x + -8x = 22x -60 + 22x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -60 + 22x = 28 + 0 -60 + 22x = 28 Add '60' to each side of the equation. -60 + 60 + 22x = 28 + 60 Combine like terms: -60 + 60 = 0 0 + 22x = 28 + 60 22x = 28 + 60 Combine like terms: 28 + 60 = 88 22x = 88 Divide each side by '22'. x = 4 Simplifying x = 4
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