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Simplifying 8x + 33 = -7(x + -9) Reorder the terms: 33 + 8x = -7(x + -9) Reorder the terms: 33 + 8x = -7(-9 + x) 33 + 8x = (-9 * -7 + x * -7) 33 + 8x = (63 + -7x) Solving 33 + 8x = 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 + 8x + 7x = 63 + -7x + 7x Combine like terms: 8x + 7x = 15x 33 + 15x = 63 + -7x + 7x Combine like terms: -7x + 7x = 0 33 + 15x = 63 + 0 33 + 15x = 63 Add '-33' to each side of the equation. 33 + -33 + 15x = 63 + -33 Combine like terms: 33 + -33 = 0 0 + 15x = 63 + -33 15x = 63 + -33 Combine like terms: 63 + -33 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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