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Simplifying 9(x + -9) + -3 = -4(2x + 4) Reorder the terms: 9(-9 + x) + -3 = -4(2x + 4) (-9 * 9 + x * 9) + -3 = -4(2x + 4) (-81 + 9x) + -3 = -4(2x + 4) Reorder the terms: -81 + -3 + 9x = -4(2x + 4) Combine like terms: -81 + -3 = -84 -84 + 9x = -4(2x + 4) Reorder the terms: -84 + 9x = -4(4 + 2x) -84 + 9x = (4 * -4 + 2x * -4) -84 + 9x = (-16 + -8x) Solving -84 + 9x = -16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -84 + 9x + 8x = -16 + -8x + 8x Combine like terms: 9x + 8x = 17x -84 + 17x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 -84 + 17x = -16 + 0 -84 + 17x = -16 Add '84' to each side of the equation. -84 + 84 + 17x = -16 + 84 Combine like terms: -84 + 84 = 0 0 + 17x = -16 + 84 17x = -16 + 84 Combine like terms: -16 + 84 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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