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Simplifying -8 + 3(4x + -8) = 7(2x + -9) + 5 Reorder the terms: -8 + 3(-8 + 4x) = 7(2x + -9) + 5 -8 + (-8 * 3 + 4x * 3) = 7(2x + -9) + 5 -8 + (-24 + 12x) = 7(2x + -9) + 5 Combine like terms: -8 + -24 = -32 -32 + 12x = 7(2x + -9) + 5 Reorder the terms: -32 + 12x = 7(-9 + 2x) + 5 -32 + 12x = (-9 * 7 + 2x * 7) + 5 -32 + 12x = (-63 + 14x) + 5 Reorder the terms: -32 + 12x = -63 + 5 + 14x Combine like terms: -63 + 5 = -58 -32 + 12x = -58 + 14x Solving -32 + 12x = -58 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -32 + 12x + -14x = -58 + 14x + -14x Combine like terms: 12x + -14x = -2x -32 + -2x = -58 + 14x + -14x Combine like terms: 14x + -14x = 0 -32 + -2x = -58 + 0 -32 + -2x = -58 Add '32' to each side of the equation. -32 + 32 + -2x = -58 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -58 + 32 -2x = -58 + 32 Combine like terms: -58 + 32 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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