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Simplifying 4x + -13 = 12x + -5 Reorder the terms: -13 + 4x = 12x + -5 Reorder the terms: -13 + 4x = -5 + 12x Solving -13 + 4x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -13 + 4x + -12x = -5 + 12x + -12x Combine like terms: 4x + -12x = -8x -13 + -8x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -8x = -5 + 0 -13 + -8x = -5 Add '13' to each side of the equation. -13 + 13 + -8x = -5 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = -5 + 13 -8x = -5 + 13 Combine like terms: -5 + 13 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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