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Simplifying 4 + -3x = 5 + -6x + -7 Reorder the terms: 4 + -3x = 5 + -7 + -6x Combine like terms: 5 + -7 = -2 4 + -3x = -2 + -6x Solving 4 + -3x = -2 + -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. 4 + -3x + 6x = -2 + -6x + 6x Combine like terms: -3x + 6x = 3x 4 + 3x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 3x = -2 + 0 4 + 3x = -2 Add '-4' to each side of the equation. 4 + -4 + 3x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -2 + -4 3x = -2 + -4 Combine like terms: -2 + -4 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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