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Simplifying 4(x + -2) + -10(2x + 1) = 2 Reorder the terms: 4(-2 + x) + -10(2x + 1) = 2 (-2 * 4 + x * 4) + -10(2x + 1) = 2 (-8 + 4x) + -10(2x + 1) = 2 Reorder the terms: -8 + 4x + -10(1 + 2x) = 2 -8 + 4x + (1 * -10 + 2x * -10) = 2 -8 + 4x + (-10 + -20x) = 2 Reorder the terms: -8 + -10 + 4x + -20x = 2 Combine like terms: -8 + -10 = -18 -18 + 4x + -20x = 2 Combine like terms: 4x + -20x = -16x -18 + -16x = 2 Solving -18 + -16x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -16x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -16x = 2 + 18 -16x = 2 + 18 Combine like terms: 2 + 18 = 20 -16x = 20 Divide each side by '-16'. x = -1.25 Simplifying x = -1.25
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