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Simplifying -5(x + 4) + 3(-4x + -5) = -18(x + 3) + 9 Reorder the terms: -5(4 + x) + 3(-4x + -5) = -18(x + 3) + 9 (4 * -5 + x * -5) + 3(-4x + -5) = -18(x + 3) + 9 (-20 + -5x) + 3(-4x + -5) = -18(x + 3) + 9 Reorder the terms: -20 + -5x + 3(-5 + -4x) = -18(x + 3) + 9 -20 + -5x + (-5 * 3 + -4x * 3) = -18(x + 3) + 9 -20 + -5x + (-15 + -12x) = -18(x + 3) + 9 Reorder the terms: -20 + -15 + -5x + -12x = -18(x + 3) + 9 Combine like terms: -20 + -15 = -35 -35 + -5x + -12x = -18(x + 3) + 9 Combine like terms: -5x + -12x = -17x -35 + -17x = -18(x + 3) + 9 Reorder the terms: -35 + -17x = -18(3 + x) + 9 -35 + -17x = (3 * -18 + x * -18) + 9 -35 + -17x = (-54 + -18x) + 9 Reorder the terms: -35 + -17x = -54 + 9 + -18x Combine like terms: -54 + 9 = -45 -35 + -17x = -45 + -18x Solving -35 + -17x = -45 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -35 + -17x + 18x = -45 + -18x + 18x Combine like terms: -17x + 18x = 1x -35 + 1x = -45 + -18x + 18x Combine like terms: -18x + 18x = 0 -35 + 1x = -45 + 0 -35 + 1x = -45 Add '35' to each side of the equation. -35 + 35 + 1x = -45 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = -45 + 35 1x = -45 + 35 Combine like terms: -45 + 35 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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