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Simplifying 13 + -10x = 53 + -14x Solving 13 + -10x = 53 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 13 + -10x + 14x = 53 + -14x + 14x Combine like terms: -10x + 14x = 4x 13 + 4x = 53 + -14x + 14x Combine like terms: -14x + 14x = 0 13 + 4x = 53 + 0 13 + 4x = 53 Add '-13' to each side of the equation. 13 + -13 + 4x = 53 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 53 + -13 4x = 53 + -13 Combine like terms: 53 + -13 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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