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Simplifying -2(5x + 12) + -5 = 6(3X + -2) + -10 Reorder the terms: -2(12 + 5x) + -5 = 6(3X + -2) + -10 (12 * -2 + 5x * -2) + -5 = 6(3X + -2) + -10 (-24 + -10x) + -5 = 6(3X + -2) + -10 Reorder the terms: -24 + -5 + -10x = 6(3X + -2) + -10 Combine like terms: -24 + -5 = -29 -29 + -10x = 6(3X + -2) + -10 Reorder the terms: -29 + -10x = 6(-2 + 3X) + -10 -29 + -10x = (-2 * 6 + 3X * 6) + -10 -29 + -10x = (-12 + 18X) + -10 Reorder the terms: -29 + -10x = -12 + -10 + 18X Combine like terms: -12 + -10 = -22 -29 + -10x = -22 + 18X Solving -29 + -10x = -22 + 18X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -10x = -22 + 29 + 18X Combine like terms: -29 + 29 = 0 0 + -10x = -22 + 29 + 18X -10x = -22 + 29 + 18X Combine like terms: -22 + 29 = 7 -10x = 7 + 18X Divide each side by '-10'. x = -0.7 + -1.8X Simplifying x = -0.7 + -1.8X
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