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Simplifying -2(5x + 2) = -3(6x + 17) Reorder the terms: -2(2 + 5x) = -3(6x + 17) (2 * -2 + 5x * -2) = -3(6x + 17) (-4 + -10x) = -3(6x + 17) Reorder the terms: -4 + -10x = -3(17 + 6x) -4 + -10x = (17 * -3 + 6x * -3) -4 + -10x = (-51 + -18x) Solving -4 + -10x = -51 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -4 + -10x + 18x = -51 + -18x + 18x Combine like terms: -10x + 18x = 8x -4 + 8x = -51 + -18x + 18x Combine like terms: -18x + 18x = 0 -4 + 8x = -51 + 0 -4 + 8x = -51 Add '4' to each side of the equation. -4 + 4 + 8x = -51 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = -51 + 4 8x = -51 + 4 Combine like terms: -51 + 4 = -47 8x = -47 Divide each side by '8'. x = -5.875 Simplifying x = -5.875
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