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Simplifying 4(2x + -9) + -4x = 4 + -6x Reorder the terms: 4(-9 + 2x) + -4x = 4 + -6x (-9 * 4 + 2x * 4) + -4x = 4 + -6x (-36 + 8x) + -4x = 4 + -6x Combine like terms: 8x + -4x = 4x -36 + 4x = 4 + -6x Solving -36 + 4x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -36 + 4x + 6x = 4 + -6x + 6x Combine like terms: 4x + 6x = 10x -36 + 10x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 10x = 4 + 0 -36 + 10x = 4 Add '36' to each side of the equation. -36 + 36 + 10x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 10x = 4 + 36 10x = 4 + 36 Combine like terms: 4 + 36 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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