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Simplifying 4x + -5 = 10x + 13 Reorder the terms: -5 + 4x = 10x + 13 Reorder the terms: -5 + 4x = 13 + 10x Solving -5 + 4x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 4x + -10x = 13 + 10x + -10x Combine like terms: 4x + -10x = -6x -5 + -6x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -6x = 13 + 0 -5 + -6x = 13 Add '5' to each side of the equation. -5 + 5 + -6x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 13 + 5 -6x = 13 + 5 Combine like terms: 13 + 5 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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