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Simplifying 51x + -1(32x + -15) + -1(9x + 2) = 93 Reorder the terms: 51x + -1(-15 + 32x) + -1(9x + 2) = 93 51x + (-15 * -1 + 32x * -1) + -1(9x + 2) = 93 51x + (15 + -32x) + -1(9x + 2) = 93 Reorder the terms: 51x + 15 + -32x + -1(2 + 9x) = 93 51x + 15 + -32x + (2 * -1 + 9x * -1) = 93 51x + 15 + -32x + (-2 + -9x) = 93 Reorder the terms: 15 + -2 + 51x + -32x + -9x = 93 Combine like terms: 15 + -2 = 13 13 + 51x + -32x + -9x = 93 Combine like terms: 51x + -32x = 19x 13 + 19x + -9x = 93 Combine like terms: 19x + -9x = 10x 13 + 10x = 93 Solving 13 + 10x = 93 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 10x = 93 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 93 + -13 10x = 93 + -13 Combine like terms: 93 + -13 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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