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Simplifying 4(2X + -9) + -9 = 4(x + -3) + 4 Reorder the terms: 4(-9 + 2X) + -9 = 4(x + -3) + 4 (-9 * 4 + 2X * 4) + -9 = 4(x + -3) + 4 (-36 + 8X) + -9 = 4(x + -3) + 4 Reorder the terms: -36 + -9 + 8X = 4(x + -3) + 4 Combine like terms: -36 + -9 = -45 -45 + 8X = 4(x + -3) + 4 Reorder the terms: -45 + 8X = 4(-3 + x) + 4 -45 + 8X = (-3 * 4 + x * 4) + 4 -45 + 8X = (-12 + 4x) + 4 Reorder the terms: -45 + 8X = -12 + 4 + 4x Combine like terms: -12 + 4 = -8 -45 + 8X = -8 + 4x Solving -45 + 8X = -8 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 8X = -8 + 45 + 4x Combine like terms: -45 + 45 = 0 0 + 8X = -8 + 45 + 4x 8X = -8 + 45 + 4x Combine like terms: -8 + 45 = 37 8X = 37 + 4x Divide each side by '8'. X = 4.625 + 0.5x Simplifying X = 4.625 + 0.5x
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