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Simplifying 4x + 4(-6X + -3) = -8(5 + 2X) Reorder the terms: 4x + 4(-3 + -6X) = -8(5 + 2X) 4x + (-3 * 4 + -6X * 4) = -8(5 + 2X) 4x + (-12 + -24X) = -8(5 + 2X) Reorder the terms: -12 + -24X + 4x = -8(5 + 2X) -12 + -24X + 4x = (5 * -8 + 2X * -8) -12 + -24X + 4x = (-40 + -16X) Solving -12 + -24X + 4x = -40 + -16X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16X' to each side of the equation. -12 + -24X + 16X + 4x = -40 + -16X + 16X Combine like terms: -24X + 16X = -8X -12 + -8X + 4x = -40 + -16X + 16X Combine like terms: -16X + 16X = 0 -12 + -8X + 4x = -40 + 0 -12 + -8X + 4x = -40 Add '12' to each side of the equation. -12 + -8X + 12 + 4x = -40 + 12 Reorder the terms: -12 + 12 + -8X + 4x = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -8X + 4x = -40 + 12 -8X + 4x = -40 + 12 Combine like terms: -40 + 12 = -28 -8X + 4x = -28 Add '-4x' to each side of the equation. -8X + 4x + -4x = -28 + -4x Combine like terms: 4x + -4x = 0 -8X + 0 = -28 + -4x -8X = -28 + -4x Divide each side by '-8'. X = 3.5 + 0.5x Simplifying X = 3.5 + 0.5x
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