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Simplifying 5(x + -4) + 10 = 2x + 11 Reorder the terms: 5(-4 + x) + 10 = 2x + 11 (-4 * 5 + x * 5) + 10 = 2x + 11 (-20 + 5x) + 10 = 2x + 11 Reorder the terms: -20 + 10 + 5x = 2x + 11 Combine like terms: -20 + 10 = -10 -10 + 5x = 2x + 11 Reorder the terms: -10 + 5x = 11 + 2x Solving -10 + 5x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 11 + 0 -10 + 3x = 11 Add '10' to each side of the equation. -10 + 10 + 3x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 11 + 10 3x = 11 + 10 Combine like terms: 11 + 10 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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