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Simplifying 9x + 7(x + 12) = -6x + -9(2x + 4) Reorder the terms: 9x + 7(12 + x) = -6x + -9(2x + 4) 9x + (12 * 7 + x * 7) = -6x + -9(2x + 4) 9x + (84 + 7x) = -6x + -9(2x + 4) Reorder the terms: 84 + 9x + 7x = -6x + -9(2x + 4) Combine like terms: 9x + 7x = 16x 84 + 16x = -6x + -9(2x + 4) Reorder the terms: 84 + 16x = -6x + -9(4 + 2x) 84 + 16x = -6x + (4 * -9 + 2x * -9) 84 + 16x = -6x + (-36 + -18x) Reorder the terms: 84 + 16x = -36 + -6x + -18x Combine like terms: -6x + -18x = -24x 84 + 16x = -36 + -24x Solving 84 + 16x = -36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 84 + 16x + 24x = -36 + -24x + 24x Combine like terms: 16x + 24x = 40x 84 + 40x = -36 + -24x + 24x Combine like terms: -24x + 24x = 0 84 + 40x = -36 + 0 84 + 40x = -36 Add '-84' to each side of the equation. 84 + -84 + 40x = -36 + -84 Combine like terms: 84 + -84 = 0 0 + 40x = -36 + -84 40x = -36 + -84 Combine like terms: -36 + -84 = -120 40x = -120 Divide each side by '40'. x = -3 Simplifying x = -3
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