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Simplifying 7(3 + -2x) + 5 = -6(x + 1) (3 * 7 + -2x * 7) + 5 = -6(x + 1) (21 + -14x) + 5 = -6(x + 1) Reorder the terms: 21 + 5 + -14x = -6(x + 1) Combine like terms: 21 + 5 = 26 26 + -14x = -6(x + 1) Reorder the terms: 26 + -14x = -6(1 + x) 26 + -14x = (1 * -6 + x * -6) 26 + -14x = (-6 + -6x) Solving 26 + -14x = -6 + -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. 26 + -14x + 6x = -6 + -6x + 6x Combine like terms: -14x + 6x = -8x 26 + -8x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 26 + -8x = -6 + 0 26 + -8x = -6 Add '-26' to each side of the equation. 26 + -26 + -8x = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = -6 + -26 -8x = -6 + -26 Combine like terms: -6 + -26 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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