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Simplifying -5x + -16(x + 3) = -5(4x + 9) Reorder the terms: -5x + -16(3 + x) = -5(4x + 9) -5x + (3 * -16 + x * -16) = -5(4x + 9) -5x + (-48 + -16x) = -5(4x + 9) Reorder the terms: -48 + -5x + -16x = -5(4x + 9) Combine like terms: -5x + -16x = -21x -48 + -21x = -5(4x + 9) Reorder the terms: -48 + -21x = -5(9 + 4x) -48 + -21x = (9 * -5 + 4x * -5) -48 + -21x = (-45 + -20x) Solving -48 + -21x = -45 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -48 + -21x + 20x = -45 + -20x + 20x Combine like terms: -21x + 20x = -1x -48 + -1x = -45 + -20x + 20x Combine like terms: -20x + 20x = 0 -48 + -1x = -45 + 0 -48 + -1x = -45 Add '48' to each side of the equation. -48 + 48 + -1x = -45 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -45 + 48 -1x = -45 + 48 Combine like terms: -45 + 48 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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