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Simplifying 5x + -6 + 3X = 3(6X + -4) + 4 Reorder the terms: -6 + 3X + 5x = 3(6X + -4) + 4 Reorder the terms: -6 + 3X + 5x = 3(-4 + 6X) + 4 -6 + 3X + 5x = (-4 * 3 + 6X * 3) + 4 -6 + 3X + 5x = (-12 + 18X) + 4 Reorder the terms: -6 + 3X + 5x = -12 + 4 + 18X Combine like terms: -12 + 4 = -8 -6 + 3X + 5x = -8 + 18X Solving -6 + 3X + 5x = -8 + 18X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18X' to each side of the equation. -6 + 3X + -18X + 5x = -8 + 18X + -18X Combine like terms: 3X + -18X = -15X -6 + -15X + 5x = -8 + 18X + -18X Combine like terms: 18X + -18X = 0 -6 + -15X + 5x = -8 + 0 -6 + -15X + 5x = -8 Add '6' to each side of the equation. -6 + -15X + 6 + 5x = -8 + 6 Reorder the terms: -6 + 6 + -15X + 5x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -15X + 5x = -8 + 6 -15X + 5x = -8 + 6 Combine like terms: -8 + 6 = -2 -15X + 5x = -2 Add '-5x' to each side of the equation. -15X + 5x + -5x = -2 + -5x Combine like terms: 5x + -5x = 0 -15X + 0 = -2 + -5x -15X = -2 + -5x Divide each side by '-15'. X = 0.1333333333 + 0.3333333333x Simplifying X = 0.1333333333 + 0.3333333333x
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