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Simplifying -4(2x + 9) + 3 = 6 + -4(x + -3) Reorder the terms: -4(9 + 2x) + 3 = 6 + -4(x + -3) (9 * -4 + 2x * -4) + 3 = 6 + -4(x + -3) (-36 + -8x) + 3 = 6 + -4(x + -3) Reorder the terms: -36 + 3 + -8x = 6 + -4(x + -3) Combine like terms: -36 + 3 = -33 -33 + -8x = 6 + -4(x + -3) Reorder the terms: -33 + -8x = 6 + -4(-3 + x) -33 + -8x = 6 + (-3 * -4 + x * -4) -33 + -8x = 6 + (12 + -4x) Combine like terms: 6 + 12 = 18 -33 + -8x = 18 + -4x Solving -33 + -8x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -33 + -8x + 4x = 18 + -4x + 4x Combine like terms: -8x + 4x = -4x -33 + -4x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 -33 + -4x = 18 + 0 -33 + -4x = 18 Add '33' to each side of the equation. -33 + 33 + -4x = 18 + 33 Combine like terms: -33 + 33 = 0 0 + -4x = 18 + 33 -4x = 18 + 33 Combine like terms: 18 + 33 = 51 -4x = 51 Divide each side by '-4'. x = -12.75 Simplifying x = -12.75
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