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Simplifying -5(x + 4) + 3 = 19 + 3(x + 4) Reorder the terms: -5(4 + x) + 3 = 19 + 3(x + 4) (4 * -5 + x * -5) + 3 = 19 + 3(x + 4) (-20 + -5x) + 3 = 19 + 3(x + 4) Reorder the terms: -20 + 3 + -5x = 19 + 3(x + 4) Combine like terms: -20 + 3 = -17 -17 + -5x = 19 + 3(x + 4) Reorder the terms: -17 + -5x = 19 + 3(4 + x) -17 + -5x = 19 + (4 * 3 + x * 3) -17 + -5x = 19 + (12 + 3x) Combine like terms: 19 + 12 = 31 -17 + -5x = 31 + 3x Solving -17 + -5x = 31 + 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. -17 + -5x + -3x = 31 + 3x + -3x Combine like terms: -5x + -3x = -8x -17 + -8x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + -8x = 31 + 0 -17 + -8x = 31 Add '17' to each side of the equation. -17 + 17 + -8x = 31 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = 31 + 17 -8x = 31 + 17 Combine like terms: 31 + 17 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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