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Simplifying 17 + -5(2x + 3) + -2(4x + 7) = 0 Reorder the terms: 17 + -5(3 + 2x) + -2(4x + 7) = 0 17 + (3 * -5 + 2x * -5) + -2(4x + 7) = 0 17 + (-15 + -10x) + -2(4x + 7) = 0 Reorder the terms: 17 + -15 + -10x + -2(7 + 4x) = 0 17 + -15 + -10x + (7 * -2 + 4x * -2) = 0 17 + -15 + -10x + (-14 + -8x) = 0 Reorder the terms: 17 + -15 + -14 + -10x + -8x = 0 Combine like terms: 17 + -15 = 2 2 + -14 + -10x + -8x = 0 Combine like terms: 2 + -14 = -12 -12 + -10x + -8x = 0 Combine like terms: -10x + -8x = -18x -12 + -18x = 0 Solving -12 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -18x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = 0 + 12 -18x = 0 + 12 Combine like terms: 0 + 12 = 12 -18x = 12 Divide each side by '-18'. x = -0.6666666667 Simplifying x = -0.6666666667
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