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Simplifying -48 = 3x + -6(2x + 17) Reorder the terms: -48 = 3x + -6(17 + 2x) -48 = 3x + (17 * -6 + 2x * -6) -48 = 3x + (-102 + -12x) Reorder the terms: -48 = -102 + 3x + -12x Combine like terms: 3x + -12x = -9x -48 = -102 + -9x Solving -48 = -102 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -48 + 9x = -102 + -9x + 9x Combine like terms: -9x + 9x = 0 -48 + 9x = -102 + 0 -48 + 9x = -102 Add '48' to each side of the equation. -48 + 48 + 9x = -102 + 48 Combine like terms: -48 + 48 = 0 0 + 9x = -102 + 48 9x = -102 + 48 Combine like terms: -102 + 48 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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