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Simplifying 2x + -4(x + 5) + 10 = 4x + 11 Reorder the terms: 2x + -4(5 + x) + 10 = 4x + 11 2x + (5 * -4 + x * -4) + 10 = 4x + 11 2x + (-20 + -4x) + 10 = 4x + 11 Reorder the terms: -20 + 10 + 2x + -4x = 4x + 11 Combine like terms: -20 + 10 = -10 -10 + 2x + -4x = 4x + 11 Combine like terms: 2x + -4x = -2x -10 + -2x = 4x + 11 Reorder the terms: -10 + -2x = 11 + 4x Solving -10 + -2x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + -2x + -4x = 11 + 4x + -4x Combine like terms: -2x + -4x = -6x -10 + -6x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -6x = 11 + 0 -10 + -6x = 11 Add '10' to each side of the equation. -10 + 10 + -6x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 11 + 10 -6x = 11 + 10 Combine like terms: 11 + 10 = 21 -6x = 21 Divide each side by '-6'. x = -3.5 Simplifying x = -3.5
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