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Simplifying 3x + 13 = 6x + -4 Reorder the terms: 13 + 3x = 6x + -4 Reorder the terms: 13 + 3x = -4 + 6x Solving 13 + 3x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 3x + -6x = -4 + 6x + -6x Combine like terms: 3x + -6x = -3x 13 + -3x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -3x = -4 + 0 13 + -3x = -4 Add '-13' to each side of the equation. 13 + -13 + -3x = -4 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -4 + -13 -3x = -4 + -13 Combine like terms: -4 + -13 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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