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Simplifying 3x + -2(x + 3) + -5(x + 3) = 0 Reorder the terms: 3x + -2(3 + x) + -5(x + 3) = 0 3x + (3 * -2 + x * -2) + -5(x + 3) = 0 3x + (-6 + -2x) + -5(x + 3) = 0 Reorder the terms: 3x + -6 + -2x + -5(3 + x) = 0 3x + -6 + -2x + (3 * -5 + x * -5) = 0 3x + -6 + -2x + (-15 + -5x) = 0 Reorder the terms: -6 + -15 + 3x + -2x + -5x = 0 Combine like terms: -6 + -15 = -21 -21 + 3x + -2x + -5x = 0 Combine like terms: 3x + -2x = 1x -21 + 1x + -5x = 0 Combine like terms: 1x + -5x = -4x -21 + -4x = 0 Solving -21 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 0 + 21 -4x = 0 + 21 Combine like terms: 0 + 21 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25
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