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Simplifying 7 + -6x + -3 = 46 + 3x + -13 Reorder the terms: 7 + -3 + -6x = 46 + 3x + -13 Combine like terms: 7 + -3 = 4 4 + -6x = 46 + 3x + -13 Reorder the terms: 4 + -6x = 46 + -13 + 3x Combine like terms: 46 + -13 = 33 4 + -6x = 33 + 3x Solving 4 + -6x = 33 + 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. 4 + -6x + -3x = 33 + 3x + -3x Combine like terms: -6x + -3x = -9x 4 + -9x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -9x = 33 + 0 4 + -9x = 33 Add '-4' to each side of the equation. 4 + -4 + -9x = 33 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 33 + -4 -9x = 33 + -4 Combine like terms: 33 + -4 = 29 -9x = 29 Divide each side by '-9'. x = -3.222222222 Simplifying x = -3.222222222
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