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Simplifying x * 13 + -253 = x * 5 + -13 Reorder the terms for easier multiplication: 13x + -253 = x * 5 + -13 Reorder the terms: -253 + 13x = x * 5 + -13 Reorder the terms for easier multiplication: -253 + 13x = 5x + -13 Reorder the terms: -253 + 13x = -13 + 5x Solving -253 + 13x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -253 + 13x + -5x = -13 + 5x + -5x Combine like terms: 13x + -5x = 8x -253 + 8x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -253 + 8x = -13 + 0 -253 + 8x = -13 Add '253' to each side of the equation. -253 + 253 + 8x = -13 + 253 Combine like terms: -253 + 253 = 0 0 + 8x = -13 + 253 8x = -13 + 253 Combine like terms: -13 + 253 = 240 8x = 240 Divide each side by '8'. x = 30 Simplifying x = 30
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