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Simplifying 4(x + -2) + -9 = 6 + -1(x + 3) Reorder the terms: 4(-2 + x) + -9 = 6 + -1(x + 3) (-2 * 4 + x * 4) + -9 = 6 + -1(x + 3) (-8 + 4x) + -9 = 6 + -1(x + 3) Reorder the terms: -8 + -9 + 4x = 6 + -1(x + 3) Combine like terms: -8 + -9 = -17 -17 + 4x = 6 + -1(x + 3) Reorder the terms: -17 + 4x = 6 + -1(3 + x) -17 + 4x = 6 + (3 * -1 + x * -1) -17 + 4x = 6 + (-3 + -1x) Combine like terms: 6 + -3 = 3 -17 + 4x = 3 + -1x Solving -17 + 4x = 3 + -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 = 3 + -1x + x Combine like terms: 4x + x = 5x -17 + 5x = 3 + -1x + x Combine like terms: -1x + x = 0 -17 + 5x = 3 + 0 -17 + 5x = 3 Add '17' to each side of the equation. -17 + 17 + 5x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 3 + 17 5x = 3 + 17 Combine like terms: 3 + 17 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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