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Simplifying 4(X + -2) + -10 = 2(X + 3) Reorder the terms: 4(-2 + X) + -10 = 2(X + 3) (-2 * 4 + X * 4) + -10 = 2(X + 3) (-8 + 4X) + -10 = 2(X + 3) Reorder the terms: -8 + -10 + 4X = 2(X + 3) Combine like terms: -8 + -10 = -18 -18 + 4X = 2(X + 3) Reorder the terms: -18 + 4X = 2(3 + X) -18 + 4X = (3 * 2 + X * 2) -18 + 4X = (6 + 2X) Solving -18 + 4X = 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. -18 + 4X + -2X = 6 + 2X + -2X Combine like terms: 4X + -2X = 2X -18 + 2X = 6 + 2X + -2X Combine like terms: 2X + -2X = 0 -18 + 2X = 6 + 0 -18 + 2X = 6 Add '18' to each side of the equation. -18 + 18 + 2X = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2X = 6 + 18 2X = 6 + 18 Combine like terms: 6 + 18 = 24 2X = 24 Divide each side by '2'. X = 12 Simplifying X = 12
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