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Simplifying 5(x + -2) + -4 = 2(x + 3) + -11 Reorder the terms: 5(-2 + x) + -4 = 2(x + 3) + -11 (-2 * 5 + x * 5) + -4 = 2(x + 3) + -11 (-10 + 5x) + -4 = 2(x + 3) + -11 Reorder the terms: -10 + -4 + 5x = 2(x + 3) + -11 Combine like terms: -10 + -4 = -14 -14 + 5x = 2(x + 3) + -11 Reorder the terms: -14 + 5x = 2(3 + x) + -11 -14 + 5x = (3 * 2 + x * 2) + -11 -14 + 5x = (6 + 2x) + -11 Reorder the terms: -14 + 5x = 6 + -11 + 2x Combine like terms: 6 + -11 = -5 -14 + 5x = -5 + 2x Solving -14 + 5x = -5 + 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. -14 + 5x + -2x = -5 + 2x + -2x Combine like terms: 5x + -2x = 3x -14 + 3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 3x = -5 + 0 -14 + 3x = -5 Add '14' to each side of the equation. -14 + 14 + 3x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -5 + 14 3x = -5 + 14 Combine like terms: -5 + 14 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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