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Simplifying 3(x + -5) + -4(2x + 3) = x + -27 Reorder the terms: 3(-5 + x) + -4(2x + 3) = x + -27 (-5 * 3 + x * 3) + -4(2x + 3) = x + -27 (-15 + 3x) + -4(2x + 3) = x + -27 Reorder the terms: -15 + 3x + -4(3 + 2x) = x + -27 -15 + 3x + (3 * -4 + 2x * -4) = x + -27 -15 + 3x + (-12 + -8x) = x + -27 Reorder the terms: -15 + -12 + 3x + -8x = x + -27 Combine like terms: -15 + -12 = -27 -27 + 3x + -8x = x + -27 Combine like terms: 3x + -8x = -5x -27 + -5x = x + -27 Reorder the terms: -27 + -5x = -27 + x Add '27' to each side of the equation. -27 + 27 + -5x = -27 + 27 + x Combine like terms: -27 + 27 = 0 0 + -5x = -27 + 27 + x -5x = -27 + 27 + x Combine like terms: -27 + 27 = 0 -5x = 0 + x -5x = x Solving -5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5x + -1x = x + -1x Combine like terms: -5x + -1x = -6x -6x = x + -1x Combine like terms: x + -1x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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