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Simplifying 4(-4x + 22) + -2(6X + 4) = 4X Reorder the terms: 4(22 + -4x) + -2(6X + 4) = 4X (22 * 4 + -4x * 4) + -2(6X + 4) = 4X (88 + -16x) + -2(6X + 4) = 4X Reorder the terms: 88 + -16x + -2(4 + 6X) = 4X 88 + -16x + (4 * -2 + 6X * -2) = 4X 88 + -16x + (-8 + -12X) = 4X Reorder the terms: 88 + -8 + -12X + -16x = 4X Combine like terms: 88 + -8 = 80 80 + -12X + -16x = 4X Solving 80 + -12X + -16x = 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 80 + -12X + -4X + -16x = 4X + -4X Combine like terms: -12X + -4X = -16X 80 + -16X + -16x = 4X + -4X Combine like terms: 4X + -4X = 0 80 + -16X + -16x = 0 Add '-80' to each side of the equation. 80 + -16X + -80 + -16x = 0 + -80 Reorder the terms: 80 + -80 + -16X + -16x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -16X + -16x = 0 + -80 -16X + -16x = 0 + -80 Combine like terms: 0 + -80 = -80 -16X + -16x = -80 Add '16x' to each side of the equation. -16X + -16x + 16x = -80 + 16x Combine like terms: -16x + 16x = 0 -16X + 0 = -80 + 16x -16X = -80 + 16x Divide each side by '-16'. X = 5 + -1x Simplifying X = 5 + -1x
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