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Simplifying 9(x + 7) + 4 = -9(x + -2) + -6 Reorder the terms: 9(7 + x) + 4 = -9(x + -2) + -6 (7 * 9 + x * 9) + 4 = -9(x + -2) + -6 (63 + 9x) + 4 = -9(x + -2) + -6 Reorder the terms: 63 + 4 + 9x = -9(x + -2) + -6 Combine like terms: 63 + 4 = 67 67 + 9x = -9(x + -2) + -6 Reorder the terms: 67 + 9x = -9(-2 + x) + -6 67 + 9x = (-2 * -9 + x * -9) + -6 67 + 9x = (18 + -9x) + -6 Reorder the terms: 67 + 9x = 18 + -6 + -9x Combine like terms: 18 + -6 = 12 67 + 9x = 12 + -9x Solving 67 + 9x = 12 + -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. 67 + 9x + 9x = 12 + -9x + 9x Combine like terms: 9x + 9x = 18x 67 + 18x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 67 + 18x = 12 + 0 67 + 18x = 12 Add '-67' to each side of the equation. 67 + -67 + 18x = 12 + -67 Combine like terms: 67 + -67 = 0 0 + 18x = 12 + -67 18x = 12 + -67 Combine like terms: 12 + -67 = -55 18x = -55 Divide each side by '18'. x = -3.055555556 Simplifying x = -3.055555556
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