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Simplifying 2(-4x + -10) = -3(3x + -7) Reorder the terms: 2(-10 + -4x) = -3(3x + -7) (-10 * 2 + -4x * 2) = -3(3x + -7) (-20 + -8x) = -3(3x + -7) Reorder the terms: -20 + -8x = -3(-7 + 3x) -20 + -8x = (-7 * -3 + 3x * -3) -20 + -8x = (21 + -9x) Solving -20 + -8x = 21 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -20 + -8x + 9x = 21 + -9x + 9x Combine like terms: -8x + 9x = 1x -20 + 1x = 21 + -9x + 9x Combine like terms: -9x + 9x = 0 -20 + 1x = 21 + 0 -20 + 1x = 21 Add '20' to each side of the equation. -20 + 20 + 1x = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 21 + 20 1x = 21 + 20 Combine like terms: 21 + 20 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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