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Simplifying x + 5 + 3r + -7 + 9r + 3 + -4r = 0 Reorder the terms: 5 + -7 + 3 + 3r + 9r + -4r + x = 0 Combine like terms: 5 + -7 = -2 -2 + 3 + 3r + 9r + -4r + x = 0 Combine like terms: -2 + 3 = 1 1 + 3r + 9r + -4r + x = 0 Combine like terms: 3r + 9r = 12r 1 + 12r + -4r + x = 0 Combine like terms: 12r + -4r = 8r 1 + 8r + x = 0 Solving 1 + 8r + x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 8r + -1 + x = 0 + -1 Reorder the terms: 1 + -1 + 8r + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8r + x = 0 + -1 8r + x = 0 + -1 Combine like terms: 0 + -1 = -1 8r + x = -1 Add '-1x' to each side of the equation. 8r + x + -1x = -1 + -1x Combine like terms: x + -1x = 0 8r + 0 = -1 + -1x 8r = -1 + -1x Divide each side by '8'. r = -0.125 + -0.125x Simplifying r = -0.125 + -0.125x
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