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Simplifying 4(x + 4) + 3(9 + -3x) = -6(x + -5) + -6 Reorder the terms: 4(4 + x) + 3(9 + -3x) = -6(x + -5) + -6 (4 * 4 + x * 4) + 3(9 + -3x) = -6(x + -5) + -6 (16 + 4x) + 3(9 + -3x) = -6(x + -5) + -6 16 + 4x + (9 * 3 + -3x * 3) = -6(x + -5) + -6 16 + 4x + (27 + -9x) = -6(x + -5) + -6 Reorder the terms: 16 + 27 + 4x + -9x = -6(x + -5) + -6 Combine like terms: 16 + 27 = 43 43 + 4x + -9x = -6(x + -5) + -6 Combine like terms: 4x + -9x = -5x 43 + -5x = -6(x + -5) + -6 Reorder the terms: 43 + -5x = -6(-5 + x) + -6 43 + -5x = (-5 * -6 + x * -6) + -6 43 + -5x = (30 + -6x) + -6 Reorder the terms: 43 + -5x = 30 + -6 + -6x Combine like terms: 30 + -6 = 24 43 + -5x = 24 + -6x Solving 43 + -5x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 43 + -5x + 6x = 24 + -6x + 6x Combine like terms: -5x + 6x = 1x 43 + 1x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 43 + 1x = 24 + 0 43 + 1x = 24 Add '-43' to each side of the equation. 43 + -43 + 1x = 24 + -43 Combine like terms: 43 + -43 = 0 0 + 1x = 24 + -43 1x = 24 + -43 Combine like terms: 24 + -43 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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