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Simplifying 2x + 40 = -10x + -4(4x + 11) Reorder the terms: 40 + 2x = -10x + -4(4x + 11) Reorder the terms: 40 + 2x = -10x + -4(11 + 4x) 40 + 2x = -10x + (11 * -4 + 4x * -4) 40 + 2x = -10x + (-44 + -16x) Reorder the terms: 40 + 2x = -44 + -10x + -16x Combine like terms: -10x + -16x = -26x 40 + 2x = -44 + -26x Solving 40 + 2x = -44 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 40 + 2x + 26x = -44 + -26x + 26x Combine like terms: 2x + 26x = 28x 40 + 28x = -44 + -26x + 26x Combine like terms: -26x + 26x = 0 40 + 28x = -44 + 0 40 + 28x = -44 Add '-40' to each side of the equation. 40 + -40 + 28x = -44 + -40 Combine like terms: 40 + -40 = 0 0 + 28x = -44 + -40 28x = -44 + -40 Combine like terms: -44 + -40 = -84 28x = -84 Divide each side by '28'. x = -3 Simplifying x = -3
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