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Simplifying 6(3x + -6) + -2(x + 1) + -17 = 0 Reorder the terms: 6(-6 + 3x) + -2(x + 1) + -17 = 0 (-6 * 6 + 3x * 6) + -2(x + 1) + -17 = 0 (-36 + 18x) + -2(x + 1) + -17 = 0 Reorder the terms: -36 + 18x + -2(1 + x) + -17 = 0 -36 + 18x + (1 * -2 + x * -2) + -17 = 0 -36 + 18x + (-2 + -2x) + -17 = 0 Reorder the terms: -36 + -2 + -17 + 18x + -2x = 0 Combine like terms: -36 + -2 = -38 -38 + -17 + 18x + -2x = 0 Combine like terms: -38 + -17 = -55 -55 + 18x + -2x = 0 Combine like terms: 18x + -2x = 16x -55 + 16x = 0 Solving -55 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 16x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 16x = 0 + 55 16x = 0 + 55 Combine like terms: 0 + 55 = 55 16x = 55 Divide each side by '16'. x = 3.4375 Simplifying x = 3.4375
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