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Simplifying 4x + -7x + -13 = 3x + 9 + -13 Reorder the terms: -13 + 4x + -7x = 3x + 9 + -13 Combine like terms: 4x + -7x = -3x -13 + -3x = 3x + 9 + -13 Reorder the terms: -13 + -3x = 9 + -13 + 3x Combine like terms: 9 + -13 = -4 -13 + -3x = -4 + 3x Solving -13 + -3x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + -3x + -3x = -4 + 3x + -3x Combine like terms: -3x + -3x = -6x -13 + -6x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -6x = -4 + 0 -13 + -6x = -4 Add '13' to each side of the equation. -13 + 13 + -6x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -4 + 13 -6x = -4 + 13 Combine like terms: -4 + 13 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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