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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 = 1x -84 + 1x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -84 + 1x = 16 + 0 -84 + 1x = 16 Add '84' to each side of the equation. -84 + 84 + 1x = 16 + 84 Combine like terms: -84 + 84 = 0 0 + 1x = 16 + 84 1x = 16 + 84 Combine like terms: 16 + 84 = 100 1x = 100 Divide each side by '1'. x = 100 Simplifying x = 100
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