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Simplifying 2(r + x) = r + -1rx + -6 (r * 2 + x * 2) = r + -1rx + -6 (2r + 2x) = r + -1rx + -6 Reorder the terms: 2r + 2x = -6 + r + -1rx Solving 2r + 2x = -6 + r + -1rx Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 2r + -1r + 2x = -6 + r + -1r + -1rx Combine like terms: 2r + -1r = 1r 1r + 2x = -6 + r + -1r + -1rx Combine like terms: r + -1r = 0 1r + 2x = -6 + 0 + -1rx 1r + 2x = -6 + -1rx Add 'rx' to each side of the equation. 1r + rx + 2x = -6 + -1rx + rx Combine like terms: -1rx + rx = 0 1r + rx + 2x = -6 + 0 1r + rx + 2x = -6 Add '-2x' to each side of the equation. 1r + rx + 2x + -2x = -6 + -2x Combine like terms: 2x + -2x = 0 1r + rx + 0 = -6 + -2x 1r + rx = -6 + -2x Reorder the terms: 6 + 1r + rx + 2x = -6 + -2x + 6 + 2x Reorder the terms: 6 + 1r + rx + 2x = -6 + 6 + -2x + 2x Combine like terms: -6 + 6 = 0 6 + 1r + rx + 2x = 0 + -2x + 2x 6 + 1r + rx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 6 + 1r + rx + 2x = 0 The solution to this equation could not be determined.
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