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Simplifying 5(-3x + -7) = -4(4x + 9) Reorder the terms: 5(-7 + -3x) = -4(4x + 9) (-7 * 5 + -3x * 5) = -4(4x + 9) (-35 + -15x) = -4(4x + 9) Reorder the terms: -35 + -15x = -4(9 + 4x) -35 + -15x = (9 * -4 + 4x * -4) -35 + -15x = (-36 + -16x) Solving -35 + -15x = -36 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -35 + -15x + 16x = -36 + -16x + 16x Combine like terms: -15x + 16x = 1x -35 + 1x = -36 + -16x + 16x Combine like terms: -16x + 16x = 0 -35 + 1x = -36 + 0 -35 + 1x = -36 Add '35' to each side of the equation. -35 + 35 + 1x = -36 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = -36 + 35 1x = -36 + 35 Combine like terms: -36 + 35 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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