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Simplifying 7 = 4x + rx + 6 Reorder the terms: 7 = 6 + rx + 4x Solving 7 = 6 + rx + 4x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1rx' to each side of the equation. 7 + -1rx = 6 + rx + -1rx + 4x Combine like terms: rx + -1rx = 0 7 + -1rx = 6 + 0 + 4x 7 + -1rx = 6 + 4x Add '-7' to each side of the equation. 7 + -7 + -1rx = 6 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + -1rx = 6 + -7 + 4x -1rx = 6 + -7 + 4x Combine like terms: 6 + -7 = -1 -1rx = -1 + 4x Divide each side by '-1x'. r = x-1 + -4 Simplifying r = x-1 + -4 Reorder the terms: r = -4 + x-1
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