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Simplifying 12(5x + -2) + 6 = -29 + -3(x + -7) Reorder the terms: 12(-2 + 5x) + 6 = -29 + -3(x + -7) (-2 * 12 + 5x * 12) + 6 = -29 + -3(x + -7) (-24 + 60x) + 6 = -29 + -3(x + -7) Reorder the terms: -24 + 6 + 60x = -29 + -3(x + -7) Combine like terms: -24 + 6 = -18 -18 + 60x = -29 + -3(x + -7) Reorder the terms: -18 + 60x = -29 + -3(-7 + x) -18 + 60x = -29 + (-7 * -3 + x * -3) -18 + 60x = -29 + (21 + -3x) Combine like terms: -29 + 21 = -8 -18 + 60x = -8 + -3x Solving -18 + 60x = -8 + -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 = -8 + -3x + 3x Combine like terms: 60x + 3x = 63x -18 + 63x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 63x = -8 + 0 -18 + 63x = -8 Add '18' to each side of the equation. -18 + 18 + 63x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 63x = -8 + 18 63x = -8 + 18 Combine like terms: -8 + 18 = 10 63x = 10 Divide each side by '63'. x = 0.1587301587 Simplifying x = 0.1587301587
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