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Simplifying 6x + -13 = 10x + 5 Reorder the terms: -13 + 6x = 10x + 5 Reorder the terms: -13 + 6x = 5 + 10x Solving -13 + 6x = 5 + 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. -13 + 6x + -10x = 5 + 10x + -10x Combine like terms: 6x + -10x = -4x -13 + -4x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + -4x = 5 + 0 -13 + -4x = 5 Add '13' to each side of the equation. -13 + 13 + -4x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 5 + 13 -4x = 5 + 13 Combine like terms: 5 + 13 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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