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Simplifying 5x + 3x = -3(3x + 7) + 5(x + -3) Combine like terms: 5x + 3x = 8x 8x = -3(3x + 7) + 5(x + -3) Reorder the terms: 8x = -3(7 + 3x) + 5(x + -3) 8x = (7 * -3 + 3x * -3) + 5(x + -3) 8x = (-21 + -9x) + 5(x + -3) Reorder the terms: 8x = -21 + -9x + 5(-3 + x) 8x = -21 + -9x + (-3 * 5 + x * 5) 8x = -21 + -9x + (-15 + 5x) Reorder the terms: 8x = -21 + -15 + -9x + 5x Combine like terms: -21 + -15 = -36 8x = -36 + -9x + 5x Combine like terms: -9x + 5x = -4x 8x = -36 + -4x Solving 8x = -36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8x + 4x = -36 + -4x + 4x Combine like terms: 8x + 4x = 12x 12x = -36 + -4x + 4x Combine like terms: -4x + 4x = 0 12x = -36 + 0 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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