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Simplifying 2(x + -4) + -5(2x + 1) = 3 Reorder the terms: 2(-4 + x) + -5(2x + 1) = 3 (-4 * 2 + x * 2) + -5(2x + 1) = 3 (-8 + 2x) + -5(2x + 1) = 3 Reorder the terms: -8 + 2x + -5(1 + 2x) = 3 -8 + 2x + (1 * -5 + 2x * -5) = 3 -8 + 2x + (-5 + -10x) = 3 Reorder the terms: -8 + -5 + 2x + -10x = 3 Combine like terms: -8 + -5 = -13 -13 + 2x + -10x = 3 Combine like terms: 2x + -10x = -8x -13 + -8x = 3 Solving -13 + -8x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -8x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 3 + 13 -8x = 3 + 13 Combine like terms: 3 + 13 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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