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Simplifying 6x + 40 = 13x + -30 Reorder the terms: 40 + 6x = 13x + -30 Reorder the terms: 40 + 6x = -30 + 13x Solving 40 + 6x = -30 + 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. 40 + 6x + -13x = -30 + 13x + -13x Combine like terms: 6x + -13x = -7x 40 + -7x = -30 + 13x + -13x Combine like terms: 13x + -13x = 0 40 + -7x = -30 + 0 40 + -7x = -30 Add '-40' to each side of the equation. 40 + -40 + -7x = -30 + -40 Combine like terms: 40 + -40 = 0 0 + -7x = -30 + -40 -7x = -30 + -40 Combine like terms: -30 + -40 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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