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