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Simplifying 10(X + -5) + 12 = 2X + -6 Reorder the terms: 10(-5 + X) + 12 = 2X + -6 (-5 * 10 + X * 10) + 12 = 2X + -6 (-50 + 10X) + 12 = 2X + -6 Reorder the terms: -50 + 12 + 10X = 2X + -6 Combine like terms: -50 + 12 = -38 -38 + 10X = 2X + -6 Reorder the terms: -38 + 10X = -6 + 2X Solving -38 + 10X = -6 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -38 + 10X + -2X = -6 + 2X + -2X Combine like terms: 10X + -2X = 8X -38 + 8X = -6 + 2X + -2X Combine like terms: 2X + -2X = 0 -38 + 8X = -6 + 0 -38 + 8X = -6 Add '38' to each side of the equation. -38 + 38 + 8X = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 8X = -6 + 38 8X = -6 + 38 Combine like terms: -6 + 38 = 32 8X = 32 Divide each side by '8'. X = 4 Simplifying X = 4
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