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Simplifying 3(2X + 5) = 10 + -1(2X + -5) Reorder the terms: 3(5 + 2X) = 10 + -1(2X + -5) (5 * 3 + 2X * 3) = 10 + -1(2X + -5) (15 + 6X) = 10 + -1(2X + -5) Reorder the terms: 15 + 6X = 10 + -1(-5 + 2X) 15 + 6X = 10 + (-5 * -1 + 2X * -1) 15 + 6X = 10 + (5 + -2X) Combine like terms: 10 + 5 = 15 15 + 6X = 15 + -2X Add '-15' to each side of the equation. 15 + -15 + 6X = 15 + -15 + -2X Combine like terms: 15 + -15 = 0 0 + 6X = 15 + -15 + -2X 6X = 15 + -15 + -2X Combine like terms: 15 + -15 = 0 6X = 0 + -2X 6X = -2X Solving 6X = -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. 6X + 2X = -2X + 2X Combine like terms: 6X + 2X = 8X 8X = -2X + 2X Combine like terms: -2X + 2X = 0 8X = 0 Divide each side by '8'. X = 0 Simplifying X = 0
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