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Simplifying -12x + 13 = -8x + 45 Reorder the terms: 13 + -12x = -8x + 45 Reorder the terms: 13 + -12x = 45 + -8x Solving 13 + -12x = 45 + -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. 13 + -12x + 8x = 45 + -8x + 8x Combine like terms: -12x + 8x = -4x 13 + -4x = 45 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + -4x = 45 + 0 13 + -4x = 45 Add '-13' to each side of the equation. 13 + -13 + -4x = 45 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 45 + -13 -4x = 45 + -13 Combine like terms: 45 + -13 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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