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Simplifying -6x + 5 = 4x + -45 Reorder the terms: 5 + -6x = 4x + -45 Reorder the terms: 5 + -6x = -45 + 4x Solving 5 + -6x = -45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -6x + -4x = -45 + 4x + -4x Combine like terms: -6x + -4x = -10x 5 + -10x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -10x = -45 + 0 5 + -10x = -45 Add '-5' to each side of the equation. 5 + -5 + -10x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -45 + -5 -10x = -45 + -5 Combine like terms: -45 + -5 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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