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Simplifying 3X + -1(4 + 2X) = 7X + -10 3X + (4 * -1 + 2X * -1) = 7X + -10 3X + (-4 + -2X) = 7X + -10 Reorder the terms: -4 + 3X + -2X = 7X + -10 Combine like terms: 3X + -2X = 1X -4 + 1X = 7X + -10 Reorder the terms: -4 + 1X = -10 + 7X Solving -4 + 1X = -10 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -4 + 1X + -7X = -10 + 7X + -7X Combine like terms: 1X + -7X = -6X -4 + -6X = -10 + 7X + -7X Combine like terms: 7X + -7X = 0 -4 + -6X = -10 + 0 -4 + -6X = -10 Add '4' to each side of the equation. -4 + 4 + -6X = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -6X = -10 + 4 -6X = -10 + 4 Combine like terms: -10 + 4 = -6 -6X = -6 Divide each side by '-6'. X = 1 Simplifying X = 1
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