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Simplifying -4x + 6X + -16 = 22(x + -3) + -38 Reorder the terms: -16 + 6X + -4x = 22(x + -3) + -38 Reorder the terms: -16 + 6X + -4x = 22(-3 + x) + -38 -16 + 6X + -4x = (-3 * 22 + x * 22) + -38 -16 + 6X + -4x = (-66 + 22x) + -38 Reorder the terms: -16 + 6X + -4x = -66 + -38 + 22x Combine like terms: -66 + -38 = -104 -16 + 6X + -4x = -104 + 22x Solving -16 + 6X + -4x = -104 + 22x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 6X + 16 + -4x = -104 + 16 + 22x Reorder the terms: -16 + 16 + 6X + -4x = -104 + 16 + 22x Combine like terms: -16 + 16 = 0 0 + 6X + -4x = -104 + 16 + 22x 6X + -4x = -104 + 16 + 22x Combine like terms: -104 + 16 = -88 6X + -4x = -88 + 22x Add '4x' to each side of the equation. 6X + -4x + 4x = -88 + 22x + 4x Combine like terms: -4x + 4x = 0 6X + 0 = -88 + 22x + 4x 6X = -88 + 22x + 4x Combine like terms: 22x + 4x = 26x 6X = -88 + 26x Divide each side by '6'. X = -14.66666667 + 4.333333333x Simplifying X = -14.66666667 + 4.333333333x
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