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Simplifying 12(5X + -2) + 6 = -29 + -3(X + -3) Reorder the terms: 12(-2 + 5X) + 6 = -29 + -3(X + -3) (-2 * 12 + 5X * 12) + 6 = -29 + -3(X + -3) (-24 + 60X) + 6 = -29 + -3(X + -3) Reorder the terms: -24 + 6 + 60X = -29 + -3(X + -3) Combine like terms: -24 + 6 = -18 -18 + 60X = -29 + -3(X + -3) Reorder the terms: -18 + 60X = -29 + -3(-3 + X) -18 + 60X = -29 + (-3 * -3 + X * -3) -18 + 60X = -29 + (9 + -3X) Combine like terms: -29 + 9 = -20 -18 + 60X = -20 + -3X Solving -18 + 60X = -20 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. -18 + 60X + 3X = -20 + -3X + 3X Combine like terms: 60X + 3X = 63X -18 + 63X = -20 + -3X + 3X Combine like terms: -3X + 3X = 0 -18 + 63X = -20 + 0 -18 + 63X = -20 Add '18' to each side of the equation. -18 + 18 + 63X = -20 + 18 Combine like terms: -18 + 18 = 0 0 + 63X = -20 + 18 63X = -20 + 18 Combine like terms: -20 + 18 = -2 63X = -2 Divide each side by '63'. X = -0.03174603175 Simplifying X = -0.03174603175
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