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Simplifying 4x + 13 = 12x + 7 Reorder the terms: 13 + 4x = 12x + 7 Reorder the terms: 13 + 4x = 7 + 12x Solving 13 + 4x = 7 + 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 = 7 + 12x + -12x Combine like terms: 4x + -12x = -8x 13 + -8x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -8x = 7 + 0 13 + -8x = 7 Add '-13' to each side of the equation. 13 + -13 + -8x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 7 + -13 -8x = 7 + -13 Combine like terms: 7 + -13 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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