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Simplifying 2(x + 3) + -4(x + 5) = x + 4 Reorder the terms: 2(3 + x) + -4(x + 5) = x + 4 (3 * 2 + x * 2) + -4(x + 5) = x + 4 (6 + 2x) + -4(x + 5) = x + 4 Reorder the terms: 6 + 2x + -4(5 + x) = x + 4 6 + 2x + (5 * -4 + x * -4) = x + 4 6 + 2x + (-20 + -4x) = x + 4 Reorder the terms: 6 + -20 + 2x + -4x = x + 4 Combine like terms: 6 + -20 = -14 -14 + 2x + -4x = x + 4 Combine like terms: 2x + -4x = -2x -14 + -2x = x + 4 Reorder the terms: -14 + -2x = 4 + x Solving -14 + -2x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + -2x + -1x = 4 + x + -1x Combine like terms: -2x + -1x = -3x -14 + -3x = 4 + x + -1x Combine like terms: x + -1x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to each side of the equation. -14 + 14 + -3x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14 Combine like terms: 4 + 14 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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