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Simplifying 4(x + 2) + -8x + -5 = -3x + 9 + -2(x + 6) Reorder the terms: 4(2 + x) + -8x + -5 = -3x + 9 + -2(x + 6) (2 * 4 + x * 4) + -8x + -5 = -3x + 9 + -2(x + 6) (8 + 4x) + -8x + -5 = -3x + 9 + -2(x + 6) Reorder the terms: 8 + -5 + 4x + -8x = -3x + 9 + -2(x + 6) Combine like terms: 8 + -5 = 3 3 + 4x + -8x = -3x + 9 + -2(x + 6) Combine like terms: 4x + -8x = -4x 3 + -4x = -3x + 9 + -2(x + 6) Reorder the terms: 3 + -4x = -3x + 9 + -2(6 + x) 3 + -4x = -3x + 9 + (6 * -2 + x * -2) 3 + -4x = -3x + 9 + (-12 + -2x) Reorder the terms: 3 + -4x = 9 + -12 + -3x + -2x Combine like terms: 9 + -12 = -3 3 + -4x = -3 + -3x + -2x Combine like terms: -3x + -2x = -5x 3 + -4x = -3 + -5x Solving 3 + -4x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + -4x + 5x = -3 + -5x + 5x Combine like terms: -4x + 5x = 1x 3 + 1x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 1x = -3 + 0 3 + 1x = -3 Add '-3' to each side of the equation. 3 + -3 + 1x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -3 + -3 1x = -3 + -3 Combine like terms: -3 + -3 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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