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Simplifying 3r(x + 5) = 21 Reorder the terms: 3r(5 + x) = 21 (5 * 3r + x * 3r) = 21 (15r + 3rx) = 21 Solving 15r + 3rx = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Reorder the terms: -21 + 15r + 3rx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 15r + 3rx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 5r + rx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + 5r + rx)' equal to zero and attempt to solve: Simplifying -7 + 5r + rx = 0 Solving -7 + 5r + rx = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5r + 7 + rx = 0 + 7 Reorder the terms: -7 + 7 + 5r + rx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5r + rx = 0 + 7 5r + rx = 0 + 7 Combine like terms: 0 + 7 = 7 5r + rx = 7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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