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Simplifying -5x + 13 = 3x + 18 Reorder the terms: 13 + -5x = 3x + 18 Reorder the terms: 13 + -5x = 18 + 3x Solving 13 + -5x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + -5x + -3x = 18 + 3x + -3x Combine like terms: -5x + -3x = -8x 13 + -8x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -8x = 18 + 0 13 + -8x = 18 Add '-13' to each side of the equation. 13 + -13 + -8x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 18 + -13 -8x = 18 + -13 Combine like terms: 18 + -13 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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