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Simplifying 4(2x + -7) + -4 = 4(x + -4) + 8 Reorder the terms: 4(-7 + 2x) + -4 = 4(x + -4) + 8 (-7 * 4 + 2x * 4) + -4 = 4(x + -4) + 8 (-28 + 8x) + -4 = 4(x + -4) + 8 Reorder the terms: -28 + -4 + 8x = 4(x + -4) + 8 Combine like terms: -28 + -4 = -32 -32 + 8x = 4(x + -4) + 8 Reorder the terms: -32 + 8x = 4(-4 + x) + 8 -32 + 8x = (-4 * 4 + x * 4) + 8 -32 + 8x = (-16 + 4x) + 8 Reorder the terms: -32 + 8x = -16 + 8 + 4x Combine like terms: -16 + 8 = -8 -32 + 8x = -8 + 4x Solving -32 + 8x = -8 + 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. -32 + 8x + -4x = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x -32 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 4x = -8 + 0 -32 + 4x = -8 Add '32' to each side of the equation. -32 + 32 + 4x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -8 + 32 4x = -8 + 32 Combine like terms: -8 + 32 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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