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Simplifying 18x + -4(3x + 4) = (9x + -5) + -5(3x + 7) Reorder the terms: 18x + -4(4 + 3x) = (9x + -5) + -5(3x + 7) 18x + (4 * -4 + 3x * -4) = (9x + -5) + -5(3x + 7) 18x + (-16 + -12x) = (9x + -5) + -5(3x + 7) Reorder the terms: -16 + 18x + -12x = (9x + -5) + -5(3x + 7) Combine like terms: 18x + -12x = 6x -16 + 6x = (9x + -5) + -5(3x + 7) Reorder the terms: -16 + 6x = (-5 + 9x) + -5(3x + 7) Remove parenthesis around (-5 + 9x) -16 + 6x = -5 + 9x + -5(3x + 7) Reorder the terms: -16 + 6x = -5 + 9x + -5(7 + 3x) -16 + 6x = -5 + 9x + (7 * -5 + 3x * -5) -16 + 6x = -5 + 9x + (-35 + -15x) Reorder the terms: -16 + 6x = -5 + -35 + 9x + -15x Combine like terms: -5 + -35 = -40 -16 + 6x = -40 + 9x + -15x Combine like terms: 9x + -15x = -6x -16 + 6x = -40 + -6x Solving -16 + 6x = -40 + -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. -16 + 6x + 6x = -40 + -6x + 6x Combine like terms: 6x + 6x = 12x -16 + 12x = -40 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 12x = -40 + 0 -16 + 12x = -40 Add '16' to each side of the equation. -16 + 16 + 12x = -40 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = -40 + 16 12x = -40 + 16 Combine like terms: -40 + 16 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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