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Simplifying -6x + 40 = 7x + -38 Reorder the terms: 40 + -6x = 7x + -38 Reorder the terms: 40 + -6x = -38 + 7x Solving 40 + -6x = -38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + -6x + -7x = -38 + 7x + -7x Combine like terms: -6x + -7x = -13x 40 + -13x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -13x = -38 + 0 40 + -13x = -38 Add '-40' to each side of the equation. 40 + -40 + -13x = -38 + -40 Combine like terms: 40 + -40 = 0 0 + -13x = -38 + -40 -13x = -38 + -40 Combine like terms: -38 + -40 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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