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Simplifying 6x + -3(3x + 5) = 27 + -1x Reorder the terms: 6x + -3(5 + 3x) = 27 + -1x 6x + (5 * -3 + 3x * -3) = 27 + -1x 6x + (-15 + -9x) = 27 + -1x Reorder the terms: -15 + 6x + -9x = 27 + -1x Combine like terms: 6x + -9x = -3x -15 + -3x = 27 + -1x Solving -15 + -3x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + -3x + x = 27 + -1x + x Combine like terms: -3x + x = -2x -15 + -2x = 27 + -1x + x Combine like terms: -1x + x = 0 -15 + -2x = 27 + 0 -15 + -2x = 27 Add '15' to each side of the equation. -15 + 15 + -2x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 27 + 15 -2x = 27 + 15 Combine like terms: 27 + 15 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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