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Simplifying 4x + 3(x + -9) = 6x + 1 Reorder the terms: 4x + 3(-9 + x) = 6x + 1 4x + (-9 * 3 + x * 3) = 6x + 1 4x + (-27 + 3x) = 6x + 1 Reorder the terms: -27 + 4x + 3x = 6x + 1 Combine like terms: 4x + 3x = 7x -27 + 7x = 6x + 1 Reorder the terms: -27 + 7x = 1 + 6x Solving -27 + 7x = 1 + 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. -27 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x -27 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 1x = 1 + 0 -27 + 1x = 1 Add '27' to each side of the equation. -27 + 27 + 1x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 1 + 27 1x = 1 + 27 Combine like terms: 1 + 27 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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