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Simplifying 4(2x + -10) + -1(X + -8) = -3(X + -2) + -8 Reorder the terms: 4(-10 + 2x) + -1(X + -8) = -3(X + -2) + -8 (-10 * 4 + 2x * 4) + -1(X + -8) = -3(X + -2) + -8 (-40 + 8x) + -1(X + -8) = -3(X + -2) + -8 Reorder the terms: -40 + 8x + -1(-8 + X) = -3(X + -2) + -8 -40 + 8x + (-8 * -1 + X * -1) = -3(X + -2) + -8 -40 + 8x + (8 + -1X) = -3(X + -2) + -8 Reorder the terms: -40 + 8 + -1X + 8x = -3(X + -2) + -8 Combine like terms: -40 + 8 = -32 -32 + -1X + 8x = -3(X + -2) + -8 Reorder the terms: -32 + -1X + 8x = -3(-2 + X) + -8 -32 + -1X + 8x = (-2 * -3 + X * -3) + -8 -32 + -1X + 8x = (6 + -3X) + -8 Reorder the terms: -32 + -1X + 8x = 6 + -8 + -3X Combine like terms: 6 + -8 = -2 -32 + -1X + 8x = -2 + -3X Solving -32 + -1X + 8x = -2 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. -32 + -1X + 3X + 8x = -2 + -3X + 3X Combine like terms: -1X + 3X = 2X -32 + 2X + 8x = -2 + -3X + 3X Combine like terms: -3X + 3X = 0 -32 + 2X + 8x = -2 + 0 -32 + 2X + 8x = -2 Add '32' to each side of the equation. -32 + 2X + 32 + 8x = -2 + 32 Reorder the terms: -32 + 32 + 2X + 8x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 2X + 8x = -2 + 32 2X + 8x = -2 + 32 Combine like terms: -2 + 32 = 30 2X + 8x = 30 Add '-8x' to each side of the equation. 2X + 8x + -8x = 30 + -8x Combine like terms: 8x + -8x = 0 2X + 0 = 30 + -8x 2X = 30 + -8x Divide each side by '2'. X = 15 + -4x Simplifying X = 15 + -4x
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