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Simplifying 6x + 36.5 = 13x + -54.4 Reorder the terms: 36.5 + 6x = 13x + -54.4 Reorder the terms: 36.5 + 6x = -54.4 + 13x Solving 36.5 + 6x = -54.4 + 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. 36.5 + 6x + -13x = -54.4 + 13x + -13x Combine like terms: 6x + -13x = -7x 36.5 + -7x = -54.4 + 13x + -13x Combine like terms: 13x + -13x = 0 36.5 + -7x = -54.4 + 0 36.5 + -7x = -54.4 Add '-36.5' to each side of the equation. 36.5 + -36.5 + -7x = -54.4 + -36.5 Combine like terms: 36.5 + -36.5 = 0.0 0.0 + -7x = -54.4 + -36.5 -7x = -54.4 + -36.5 Combine like terms: -54.4 + -36.5 = -90.9 -7x = -90.9 Divide each side by '-7'. x = 12.98571429 Simplifying x = 12.98571429
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