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Simplifying 3x + -8 = 5(x + -3) + 7 Reorder the terms: -8 + 3x = 5(x + -3) + 7 Reorder the terms: -8 + 3x = 5(-3 + x) + 7 -8 + 3x = (-3 * 5 + x * 5) + 7 -8 + 3x = (-15 + 5x) + 7 Reorder the terms: -8 + 3x = -15 + 7 + 5x Combine like terms: -15 + 7 = -8 -8 + 3x = -8 + 5x Add '8' to each side of the equation. -8 + 8 + 3x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 0 + 3x = -8 + 8 + 5x 3x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 3x = 0 + 5x 3x = 5x Solving 3x = 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. 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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