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Simplifying 9(-3x + 4) + -16 = 3 + 2(x + -6) Reorder the terms: 9(4 + -3x) + -16 = 3 + 2(x + -6) (4 * 9 + -3x * 9) + -16 = 3 + 2(x + -6) (36 + -27x) + -16 = 3 + 2(x + -6) Reorder the terms: 36 + -16 + -27x = 3 + 2(x + -6) Combine like terms: 36 + -16 = 20 20 + -27x = 3 + 2(x + -6) Reorder the terms: 20 + -27x = 3 + 2(-6 + x) 20 + -27x = 3 + (-6 * 2 + x * 2) 20 + -27x = 3 + (-12 + 2x) Combine like terms: 3 + -12 = -9 20 + -27x = -9 + 2x Solving 20 + -27x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -27x + -2x = -9 + 2x + -2x Combine like terms: -27x + -2x = -29x 20 + -29x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -29x = -9 + 0 20 + -29x = -9 Add '-20' to each side of the equation. 20 + -20 + -29x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -29x = -9 + -20 -29x = -9 + -20 Combine like terms: -9 + -20 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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