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Simplifying 4(7x + -22) = 2 + -4(x + 4) Reorder the terms: 4(-22 + 7x) = 2 + -4(x + 4) (-22 * 4 + 7x * 4) = 2 + -4(x + 4) (-88 + 28x) = 2 + -4(x + 4) Reorder the terms: -88 + 28x = 2 + -4(4 + x) -88 + 28x = 2 + (4 * -4 + x * -4) -88 + 28x = 2 + (-16 + -4x) Combine like terms: 2 + -16 = -14 -88 + 28x = -14 + -4x Solving -88 + 28x = -14 + -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. -88 + 28x + 4x = -14 + -4x + 4x Combine like terms: 28x + 4x = 32x -88 + 32x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 -88 + 32x = -14 + 0 -88 + 32x = -14 Add '88' to each side of the equation. -88 + 88 + 32x = -14 + 88 Combine like terms: -88 + 88 = 0 0 + 32x = -14 + 88 32x = -14 + 88 Combine like terms: -14 + 88 = 74 32x = 74 Divide each side by '32'. x = 2.3125 Simplifying x = 2.3125
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