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Simplifying 5(x + 9) + 2(-4x + -3) = -4(x + -6) + -6 Reorder the terms: 5(9 + x) + 2(-4x + -3) = -4(x + -6) + -6 (9 * 5 + x * 5) + 2(-4x + -3) = -4(x + -6) + -6 (45 + 5x) + 2(-4x + -3) = -4(x + -6) + -6 Reorder the terms: 45 + 5x + 2(-3 + -4x) = -4(x + -6) + -6 45 + 5x + (-3 * 2 + -4x * 2) = -4(x + -6) + -6 45 + 5x + (-6 + -8x) = -4(x + -6) + -6 Reorder the terms: 45 + -6 + 5x + -8x = -4(x + -6) + -6 Combine like terms: 45 + -6 = 39 39 + 5x + -8x = -4(x + -6) + -6 Combine like terms: 5x + -8x = -3x 39 + -3x = -4(x + -6) + -6 Reorder the terms: 39 + -3x = -4(-6 + x) + -6 39 + -3x = (-6 * -4 + x * -4) + -6 39 + -3x = (24 + -4x) + -6 Reorder the terms: 39 + -3x = 24 + -6 + -4x Combine like terms: 24 + -6 = 18 39 + -3x = 18 + -4x Solving 39 + -3x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 39 + -3x + 4x = 18 + -4x + 4x Combine like terms: -3x + 4x = 1x 39 + 1x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 39 + 1x = 18 + 0 39 + 1x = 18 Add '-39' to each side of the equation. 39 + -39 + 1x = 18 + -39 Combine like terms: 39 + -39 = 0 0 + 1x = 18 + -39 1x = 18 + -39 Combine like terms: 18 + -39 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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