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Simplifying 4(x + -2) + 5 = 2x + 2(-3 + X) Reorder the terms: 4(-2 + x) + 5 = 2x + 2(-3 + X) (-2 * 4 + x * 4) + 5 = 2x + 2(-3 + X) (-8 + 4x) + 5 = 2x + 2(-3 + X) Reorder the terms: -8 + 5 + 4x = 2x + 2(-3 + X) Combine like terms: -8 + 5 = -3 -3 + 4x = 2x + 2(-3 + X) -3 + 4x = 2x + (-3 * 2 + X * 2) -3 + 4x = 2x + (-6 + 2X) Reorder the terms: -3 + 4x = -6 + 2X + 2x Solving -3 + 4x = -6 + 2X + 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. -3 + 4x + -2x = -6 + 2X + 2x + -2x Combine like terms: 4x + -2x = 2x -3 + 2x = -6 + 2X + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 2x = -6 + 2X + 0 -3 + 2x = -6 + 2X Add '3' to each side of the equation. -3 + 3 + 2x = -6 + 3 + 2X Combine like terms: -3 + 3 = 0 0 + 2x = -6 + 3 + 2X 2x = -6 + 3 + 2X Combine like terms: -6 + 3 = -3 2x = -3 + 2X Divide each side by '2'. x = -1.5 + X Simplifying x = -1.5 + X
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