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Simplifying -3(11 + 5x) = -7(x + -9) (11 * -3 + 5x * -3) = -7(x + -9) (-33 + -15x) = -7(x + -9) Reorder the terms: -33 + -15x = -7(-9 + x) -33 + -15x = (-9 * -7 + x * -7) -33 + -15x = (63 + -7x) Solving -33 + -15x = 63 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -33 + -15x + 7x = 63 + -7x + 7x Combine like terms: -15x + 7x = -8x -33 + -8x = 63 + -7x + 7x Combine like terms: -7x + 7x = 0 -33 + -8x = 63 + 0 -33 + -8x = 63 Add '33' to each side of the equation. -33 + 33 + -8x = 63 + 33 Combine like terms: -33 + 33 = 0 0 + -8x = 63 + 33 -8x = 63 + 33 Combine like terms: 63 + 33 = 96 -8x = 96 Divide each side by '-8'. x = -12 Simplifying x = -12
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