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Simplifying 3(x + -3) + 5 = 7 + -5(x + 3) Reorder the terms: 3(-3 + x) + 5 = 7 + -5(x + 3) (-3 * 3 + x * 3) + 5 = 7 + -5(x + 3) (-9 + 3x) + 5 = 7 + -5(x + 3) Reorder the terms: -9 + 5 + 3x = 7 + -5(x + 3) Combine like terms: -9 + 5 = -4 -4 + 3x = 7 + -5(x + 3) Reorder the terms: -4 + 3x = 7 + -5(3 + x) -4 + 3x = 7 + (3 * -5 + x * -5) -4 + 3x = 7 + (-15 + -5x) Combine like terms: 7 + -15 = -8 -4 + 3x = -8 + -5x Solving -4 + 3x = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + 3x + 5x = -8 + -5x + 5x Combine like terms: 3x + 5x = 8x -4 + 8x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 8x = -8 + 0 -4 + 8x = -8 Add '4' to each side of the equation. -4 + 4 + 8x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = -8 + 4 8x = -8 + 4 Combine like terms: -8 + 4 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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