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Simplifying 4(2x + -9) = 7x + -1 Reorder the terms: 4(-9 + 2x) = 7x + -1 (-9 * 4 + 2x * 4) = 7x + -1 (-36 + 8x) = 7x + -1 Reorder the terms: -36 + 8x = -1 + 7x Solving -36 + 8x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -36 + 8x + -7x = -1 + 7x + -7x Combine like terms: 8x + -7x = 1x -36 + 1x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 -36 + 1x = -1 + 0 -36 + 1x = -1 Add '36' to each side of the equation. -36 + 36 + 1x = -1 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -1 + 36 1x = -1 + 36 Combine like terms: -1 + 36 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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