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Simplifying 2thirds(3x + 9) = -2(2x + 6) Reorder the terms: 2dhirst(9 + 3x) = -2(2x + 6) (9 * 2dhirst + 3x * 2dhirst) = -2(2x + 6) (18dhirst + 6dhirstx) = -2(2x + 6) Reorder the terms: 18dhirst + 6dhirstx = -2(6 + 2x) 18dhirst + 6dhirstx = (6 * -2 + 2x * -2) 18dhirst + 6dhirstx = (-12 + -4x) Solving 18dhirst + 6dhirstx = -12 + -4x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Reorder the terms: 12 + 18dhirst + 6dhirstx + 4x = -12 + -4x + 12 + 4x Reorder the terms: 12 + 18dhirst + 6dhirstx + 4x = -12 + 12 + -4x + 4x Combine like terms: -12 + 12 = 0 12 + 18dhirst + 6dhirstx + 4x = 0 + -4x + 4x 12 + 18dhirst + 6dhirstx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 12 + 18dhirst + 6dhirstx + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 9dhirst + 3dhirstx + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + 9dhirst + 3dhirstx + 2x)' equal to zero and attempt to solve: Simplifying 6 + 9dhirst + 3dhirstx + 2x = 0 Solving 6 + 9dhirst + 3dhirstx + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9dhirst + 3dhirstx + -6 + 2x = 0 + -6 Reorder the terms: 6 + -6 + 9dhirst + 3dhirstx + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9dhirst + 3dhirstx + 2x = 0 + -6 9dhirst + 3dhirstx + 2x = 0 + -6 Combine like terms: 0 + -6 = -6 9dhirst + 3dhirstx + 2x = -6 Add '-2x' to each side of the equation. 9dhirst + 3dhirstx + 2x + -2x = -6 + -2x Combine like terms: 2x + -2x = 0 9dhirst + 3dhirstx + 0 = -6 + -2x 9dhirst + 3dhirstx = -6 + -2x 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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