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Simplifying -4x + 13 = 6x + 43 Reorder the terms: 13 + -4x = 6x + 43 Reorder the terms: 13 + -4x = 43 + 6x Solving 13 + -4x = 43 + 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 + -4x + -6x = 43 + 6x + -6x Combine like terms: -4x + -6x = -10x 13 + -10x = 43 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -10x = 43 + 0 13 + -10x = 43 Add '-13' to each side of the equation. 13 + -13 + -10x = 43 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = 43 + -13 -10x = 43 + -13 Combine like terms: 43 + -13 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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