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Simplifying 5x + -3(2x + 9) = 2x + 6 Reorder the terms: 5x + -3(9 + 2x) = 2x + 6 5x + (9 * -3 + 2x * -3) = 2x + 6 5x + (-27 + -6x) = 2x + 6 Reorder the terms: -27 + 5x + -6x = 2x + 6 Combine like terms: 5x + -6x = -1x -27 + -1x = 2x + 6 Reorder the terms: -27 + -1x = 6 + 2x Solving -27 + -1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x -27 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + -3x = 6 + 0 -27 + -3x = 6 Add '27' to each side of the equation. -27 + 27 + -3x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = 6 + 27 -3x = 6 + 27 Combine like terms: 6 + 27 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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