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Simplifying 53 + -5x = 13x + 23 Reorder the terms: 53 + -5x = 23 + 13x Solving 53 + -5x = 23 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 53 + -5x + -13x = 23 + 13x + -13x Combine like terms: -5x + -13x = -18x 53 + -18x = 23 + 13x + -13x Combine like terms: 13x + -13x = 0 53 + -18x = 23 + 0 53 + -18x = 23 Add '-53' to each side of the equation. 53 + -53 + -18x = 23 + -53 Combine like terms: 53 + -53 = 0 0 + -18x = 23 + -53 -18x = 23 + -53 Combine like terms: 23 + -53 = -30 -18x = -30 Divide each side by '-18'. x = 1.666666667 Simplifying x = 1.666666667
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