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Simplifying 4(x + 7) = -9(x + -6) Reorder the terms: 4(7 + x) = -9(x + -6) (7 * 4 + x * 4) = -9(x + -6) (28 + 4x) = -9(x + -6) Reorder the terms: 28 + 4x = -9(-6 + x) 28 + 4x = (-6 * -9 + x * -9) 28 + 4x = (54 + -9x) Solving 28 + 4x = 54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 28 + 4x + 9x = 54 + -9x + 9x Combine like terms: 4x + 9x = 13x 28 + 13x = 54 + -9x + 9x Combine like terms: -9x + 9x = 0 28 + 13x = 54 + 0 28 + 13x = 54 Add '-28' to each side of the equation. 28 + -28 + 13x = 54 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = 54 + -28 13x = 54 + -28 Combine like terms: 54 + -28 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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