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Simplifying -4 + -5[7 + -3(4x + -9)] = 6(10x + -29) Reorder the terms: -4 + -5[7 + -3(-9 + 4x)] = 6(10x + -29) -4 + -5[7 + (-9 * -3 + 4x * -3)] = 6(10x + -29) -4 + -5[7 + (27 + -12x)] = 6(10x + -29) Combine like terms: 7 + 27 = 34 -4 + -5[34 + -12x] = 6(10x + -29) -4 + [34 * -5 + -12x * -5] = 6(10x + -29) -4 + [-170 + 60x] = 6(10x + -29) Combine like terms: -4 + -170 = -174 -174 + 60x = 6(10x + -29) Reorder the terms: -174 + 60x = 6(-29 + 10x) -174 + 60x = (-29 * 6 + 10x * 6) -174 + 60x = (-174 + 60x) Add '174' to each side of the equation. -174 + 174 + 60x = -174 + 174 + 60x Combine like terms: -174 + 174 = 0 0 + 60x = -174 + 174 + 60x 60x = -174 + 174 + 60x Combine like terms: -174 + 174 = 0 60x = 0 + 60x 60x = 60x Add '-60x' to each side of the equation. 60x + -60x = 60x + -60x Combine like terms: 60x + -60x = 0 0 = 60x + -60x Combine like terms: 60x + -60x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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