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Simplifying 4(x + 7) = -32 + 6x Reorder the terms: 4(7 + x) = -32 + 6x (7 * 4 + x * 4) = -32 + 6x (28 + 4x) = -32 + 6x Solving 28 + 4x = -32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 4x + -6x = -32 + 6x + -6x Combine like terms: 4x + -6x = -2x 28 + -2x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -2x = -32 + 0 28 + -2x = -32 Add '-28' to each side of the equation. 28 + -28 + -2x = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = -32 + -28 -2x = -32 + -28 Combine like terms: -32 + -28 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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