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Simplifying 4(x + -4) + -4(2x + 6) = 28 Reorder the terms: 4(-4 + x) + -4(2x + 6) = 28 (-4 * 4 + x * 4) + -4(2x + 6) = 28 (-16 + 4x) + -4(2x + 6) = 28 Reorder the terms: -16 + 4x + -4(6 + 2x) = 28 -16 + 4x + (6 * -4 + 2x * -4) = 28 -16 + 4x + (-24 + -8x) = 28 Reorder the terms: -16 + -24 + 4x + -8x = 28 Combine like terms: -16 + -24 = -40 -40 + 4x + -8x = 28 Combine like terms: 4x + -8x = -4x -40 + -4x = 28 Solving -40 + -4x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -4x = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -4x = 28 + 40 -4x = 28 + 40 Combine like terms: 28 + 40 = 68 -4x = 68 Divide each side by '-4'. x = -17 Simplifying x = -17
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