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Simplifying 4(6x + -7) = 32x Reorder the terms: 4(-7 + 6x) = 32x (-7 * 4 + 6x * 4) = 32x (-28 + 24x) = 32x Solving -28 + 24x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -28 + 24x + -32x = 32x + -32x Combine like terms: 24x + -32x = -8x -28 + -8x = 32x + -32x Combine like terms: 32x + -32x = 0 -28 + -8x = 0 Add '28' to each side of the equation. -28 + 28 + -8x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -8x = 0 + 28 -8x = 0 + 28 Combine like terms: 0 + 28 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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