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Simplifying 9 + -1(x + -3) + 4x = 4x + -5(x + 2) + -6 Reorder the terms: 9 + -1(-3 + x) + 4x = 4x + -5(x + 2) + -6 9 + (-3 * -1 + x * -1) + 4x = 4x + -5(x + 2) + -6 9 + (3 + -1x) + 4x = 4x + -5(x + 2) + -6 Combine like terms: 9 + 3 = 12 12 + -1x + 4x = 4x + -5(x + 2) + -6 Combine like terms: -1x + 4x = 3x 12 + 3x = 4x + -5(x + 2) + -6 Reorder the terms: 12 + 3x = 4x + -5(2 + x) + -6 12 + 3x = 4x + (2 * -5 + x * -5) + -6 12 + 3x = 4x + (-10 + -5x) + -6 Reorder the terms: 12 + 3x = -10 + -6 + 4x + -5x Combine like terms: -10 + -6 = -16 12 + 3x = -16 + 4x + -5x Combine like terms: 4x + -5x = -1x 12 + 3x = -16 + -1x Solving 12 + 3x = -16 + -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. 12 + 3x + x = -16 + -1x + x Combine like terms: 3x + x = 4x 12 + 4x = -16 + -1x + x Combine like terms: -1x + x = 0 12 + 4x = -16 + 0 12 + 4x = -16 Add '-12' to each side of the equation. 12 + -12 + 4x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -16 + -12 4x = -16 + -12 Combine like terms: -16 + -12 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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