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Simplifying 4(x + 7) + -6 = 9(x + -2) Reorder the terms: 4(7 + x) + -6 = 9(x + -2) (7 * 4 + x * 4) + -6 = 9(x + -2) (28 + 4x) + -6 = 9(x + -2) Reorder the terms: 28 + -6 + 4x = 9(x + -2) Combine like terms: 28 + -6 = 22 22 + 4x = 9(x + -2) Reorder the terms: 22 + 4x = 9(-2 + x) 22 + 4x = (-2 * 9 + x * 9) 22 + 4x = (-18 + 9x) Solving 22 + 4x = -18 + 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. 22 + 4x + -9x = -18 + 9x + -9x Combine like terms: 4x + -9x = -5x 22 + -5x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -5x = -18 + 0 22 + -5x = -18 Add '-22' to each side of the equation. 22 + -22 + -5x = -18 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = -18 + -22 -5x = -18 + -22 Combine like terms: -18 + -22 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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