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Simplifying 3 + 5(x + -3) = 9 + -3(x + -4) Reorder the terms: 3 + 5(-3 + x) = 9 + -3(x + -4) 3 + (-3 * 5 + x * 5) = 9 + -3(x + -4) 3 + (-15 + 5x) = 9 + -3(x + -4) Combine like terms: 3 + -15 = -12 -12 + 5x = 9 + -3(x + -4) Reorder the terms: -12 + 5x = 9 + -3(-4 + x) -12 + 5x = 9 + (-4 * -3 + x * -3) -12 + 5x = 9 + (12 + -3x) Combine like terms: 9 + 12 = 21 -12 + 5x = 21 + -3x Solving -12 + 5x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 5x + 3x = 21 + -3x + 3x Combine like terms: 5x + 3x = 8x -12 + 8x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 8x = 21 + 0 -12 + 8x = 21 Add '12' to each side of the equation. -12 + 12 + 8x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 21 + 12 8x = 21 + 12 Combine like terms: 21 + 12 = 33 8x = 33 Divide each side by '8'. x = 4.125 Simplifying x = 4.125
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