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