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Simplifying 48 = 7x + -6(-3x + 17) Reorder the terms: 48 = 7x + -6(17 + -3x) 48 = 7x + (17 * -6 + -3x * -6) 48 = 7x + (-102 + 18x) Reorder the terms: 48 = -102 + 7x + 18x Combine like terms: 7x + 18x = 25x 48 = -102 + 25x Solving 48 = -102 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 48 + -25x = -102 + 25x + -25x Combine like terms: 25x + -25x = 0 48 + -25x = -102 + 0 48 + -25x = -102 Add '-48' to each side of the equation. 48 + -48 + -25x = -102 + -48 Combine like terms: 48 + -48 = 0 0 + -25x = -102 + -48 -25x = -102 + -48 Combine like terms: -102 + -48 = -150 -25x = -150 Divide each side by '-25'. x = 6 Simplifying x = 6
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