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Simplifying 4(x + -2) + -9 = 3 + -1(x + 5) Reorder the terms: 4(-2 + x) + -9 = 3 + -1(x + 5) (-2 * 4 + x * 4) + -9 = 3 + -1(x + 5) (-8 + 4x) + -9 = 3 + -1(x + 5) Reorder the terms: -8 + -9 + 4x = 3 + -1(x + 5) Combine like terms: -8 + -9 = -17 -17 + 4x = 3 + -1(x + 5) Reorder the terms: -17 + 4x = 3 + -1(5 + x) -17 + 4x = 3 + (5 * -1 + x * -1) -17 + 4x = 3 + (-5 + -1x) Combine like terms: 3 + -5 = -2 -17 + 4x = -2 + -1x Solving -17 + 4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -17 + 4x + x = -2 + -1x + x Combine like terms: 4x + x = 5x -17 + 5x = -2 + -1x + x Combine like terms: -1x + x = 0 -17 + 5x = -2 + 0 -17 + 5x = -2 Add '17' to each side of the equation. -17 + 17 + 5x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -2 + 17 5x = -2 + 17 Combine like terms: -2 + 17 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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