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Simplifying 4x + -6 = 3(x + 9) + 6 Reorder the terms: -6 + 4x = 3(x + 9) + 6 Reorder the terms: -6 + 4x = 3(9 + x) + 6 -6 + 4x = (9 * 3 + x * 3) + 6 -6 + 4x = (27 + 3x) + 6 Reorder the terms: -6 + 4x = 27 + 6 + 3x Combine like terms: 27 + 6 = 33 -6 + 4x = 33 + 3x Solving -6 + 4x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 4x + -3x = 33 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = 33 + 0 -6 + 1x = 33 Add '6' to each side of the equation. -6 + 6 + 1x = 33 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 33 + 6 1x = 33 + 6 Combine like terms: 33 + 6 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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