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Simplifying 2(14x + -11) = 40x + -2(2x + -5) Reorder the terms: 2(-11 + 14x) = 40x + -2(2x + -5) (-11 * 2 + 14x * 2) = 40x + -2(2x + -5) (-22 + 28x) = 40x + -2(2x + -5) Reorder the terms: -22 + 28x = 40x + -2(-5 + 2x) -22 + 28x = 40x + (-5 * -2 + 2x * -2) -22 + 28x = 40x + (10 + -4x) Reorder the terms: -22 + 28x = 10 + 40x + -4x Combine like terms: 40x + -4x = 36x -22 + 28x = 10 + 36x Solving -22 + 28x = 10 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -22 + 28x + -36x = 10 + 36x + -36x Combine like terms: 28x + -36x = -8x -22 + -8x = 10 + 36x + -36x Combine like terms: 36x + -36x = 0 -22 + -8x = 10 + 0 -22 + -8x = 10 Add '22' to each side of the equation. -22 + 22 + -8x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + -8x = 10 + 22 -8x = 10 + 22 Combine like terms: 10 + 22 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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