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Simplifying 6x + 7 = (11x) + -1(13) Reorder the terms: 7 + 6x = (11x) + -1(13) Multiply -1 * 13 7 + 6x = (11x) + -13 Reorder the terms: 7 + 6x = -13 + (11x) Solving 7 + 6x = -13 + (11x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-11x)' to each side of the equation. 7 + 6x + (-11x) = -13 + (11x) + (-11x) Combine like terms: 6x + (-11x) = -5x 7 + -5x = -13 + (11x) + (-11x) Combine like terms: (11x) + (-11x) = 0 7 + -5x = -13 + 0 7 + -5x = -13 Add '-7' to each side of the equation. 7 + -7 + -5x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -13 + -7 -5x = -13 + -7 Combine like terms: -13 + -7 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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