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Simplifying -4(6x + -9) + 540 = 4(-3x + -3) + 4x Reorder the terms: -4(-9 + 6x) + 540 = 4(-3x + -3) + 4x (-9 * -4 + 6x * -4) + 540 = 4(-3x + -3) + 4x (36 + -24x) + 540 = 4(-3x + -3) + 4x Reorder the terms: 36 + 540 + -24x = 4(-3x + -3) + 4x Combine like terms: 36 + 540 = 576 576 + -24x = 4(-3x + -3) + 4x Reorder the terms: 576 + -24x = 4(-3 + -3x) + 4x 576 + -24x = (-3 * 4 + -3x * 4) + 4x 576 + -24x = (-12 + -12x) + 4x Combine like terms: -12x + 4x = -8x 576 + -24x = -12 + -8x Solving 576 + -24x = -12 + -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. 576 + -24x + 8x = -12 + -8x + 8x Combine like terms: -24x + 8x = -16x 576 + -16x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 576 + -16x = -12 + 0 576 + -16x = -12 Add '-576' to each side of the equation. 576 + -576 + -16x = -12 + -576 Combine like terms: 576 + -576 = 0 0 + -16x = -12 + -576 -16x = -12 + -576 Combine like terms: -12 + -576 = -588 -16x = -588 Divide each side by '-16'. x = 36.75 Simplifying x = 36.75
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