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Simplifying 7(-2x + 3) + -5 = -32 + -6x Reorder the terms: 7(3 + -2x) + -5 = -32 + -6x (3 * 7 + -2x * 7) + -5 = -32 + -6x (21 + -14x) + -5 = -32 + -6x Reorder the terms: 21 + -5 + -14x = -32 + -6x Combine like terms: 21 + -5 = 16 16 + -14x = -32 + -6x Solving 16 + -14x = -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. 16 + -14x + 6x = -32 + -6x + 6x Combine like terms: -14x + 6x = -8x 16 + -8x = -32 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + -8x = -32 + 0 16 + -8x = -32 Add '-16' to each side of the equation. 16 + -16 + -8x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = -32 + -16 -8x = -32 + -16 Combine like terms: -32 + -16 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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