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Simplifying 4(4x + -7) + 4 = -8(2x + 7) Reorder the terms: 4(-7 + 4x) + 4 = -8(2x + 7) (-7 * 4 + 4x * 4) + 4 = -8(2x + 7) (-28 + 16x) + 4 = -8(2x + 7) Reorder the terms: -28 + 4 + 16x = -8(2x + 7) Combine like terms: -28 + 4 = -24 -24 + 16x = -8(2x + 7) Reorder the terms: -24 + 16x = -8(7 + 2x) -24 + 16x = (7 * -8 + 2x * -8) -24 + 16x = (-56 + -16x) Solving -24 + 16x = -56 + -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. -24 + 16x + 16x = -56 + -16x + 16x Combine like terms: 16x + 16x = 32x -24 + 32x = -56 + -16x + 16x Combine like terms: -16x + 16x = 0 -24 + 32x = -56 + 0 -24 + 32x = -56 Add '24' to each side of the equation. -24 + 24 + 32x = -56 + 24 Combine like terms: -24 + 24 = 0 0 + 32x = -56 + 24 32x = -56 + 24 Combine like terms: -56 + 24 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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