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Simplifying 4(7x + -22) = 4(4x + -7) Reorder the terms: 4(-22 + 7x) = 4(4x + -7) (-22 * 4 + 7x * 4) = 4(4x + -7) (-88 + 28x) = 4(4x + -7) Reorder the terms: -88 + 28x = 4(-7 + 4x) -88 + 28x = (-7 * 4 + 4x * 4) -88 + 28x = (-28 + 16x) Solving -88 + 28x = -28 + 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. -88 + 28x + -16x = -28 + 16x + -16x Combine like terms: 28x + -16x = 12x -88 + 12x = -28 + 16x + -16x Combine like terms: 16x + -16x = 0 -88 + 12x = -28 + 0 -88 + 12x = -28 Add '88' to each side of the equation. -88 + 88 + 12x = -28 + 88 Combine like terms: -88 + 88 = 0 0 + 12x = -28 + 88 12x = -28 + 88 Combine like terms: -28 + 88 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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