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Simplifying 5(5x + -7) + 93 = -8(x + -9) + 12x + -14 Reorder the terms: 5(-7 + 5x) + 93 = -8(x + -9) + 12x + -14 (-7 * 5 + 5x * 5) + 93 = -8(x + -9) + 12x + -14 (-35 + 25x) + 93 = -8(x + -9) + 12x + -14 Reorder the terms: -35 + 93 + 25x = -8(x + -9) + 12x + -14 Combine like terms: -35 + 93 = 58 58 + 25x = -8(x + -9) + 12x + -14 Reorder the terms: 58 + 25x = -8(-9 + x) + 12x + -14 58 + 25x = (-9 * -8 + x * -8) + 12x + -14 58 + 25x = (72 + -8x) + 12x + -14 Reorder the terms: 58 + 25x = 72 + -14 + -8x + 12x Combine like terms: 72 + -14 = 58 58 + 25x = 58 + -8x + 12x Combine like terms: -8x + 12x = 4x 58 + 25x = 58 + 4x Add '-58' to each side of the equation. 58 + -58 + 25x = 58 + -58 + 4x Combine like terms: 58 + -58 = 0 0 + 25x = 58 + -58 + 4x 25x = 58 + -58 + 4x Combine like terms: 58 + -58 = 0 25x = 0 + 4x 25x = 4x Solving 25x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25x + -4x = 4x + -4x Combine like terms: 25x + -4x = 21x 21x = 4x + -4x Combine like terms: 4x + -4x = 0 21x = 0 Divide each side by '21'. x = 0 Simplifying x = 0
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