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Simplifying -3x + 13 = 5x + -40 Reorder the terms: 13 + -3x = 5x + -40 Reorder the terms: 13 + -3x = -40 + 5x Solving 13 + -3x = -40 + 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. 13 + -3x + -5x = -40 + 5x + -5x Combine like terms: -3x + -5x = -8x 13 + -8x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -8x = -40 + 0 13 + -8x = -40 Add '-13' to each side of the equation. 13 + -13 + -8x = -40 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -40 + -13 -8x = -40 + -13 Combine like terms: -40 + -13 = -53 -8x = -53 Divide each side by '-8'. x = 6.625 Simplifying x = 6.625
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