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Simplifying 5(7x + -6) + -9(8x + -3) = 2(8 + -9x) Reorder the terms: 5(-6 + 7x) + -9(8x + -3) = 2(8 + -9x) (-6 * 5 + 7x * 5) + -9(8x + -3) = 2(8 + -9x) (-30 + 35x) + -9(8x + -3) = 2(8 + -9x) Reorder the terms: -30 + 35x + -9(-3 + 8x) = 2(8 + -9x) -30 + 35x + (-3 * -9 + 8x * -9) = 2(8 + -9x) -30 + 35x + (27 + -72x) = 2(8 + -9x) Reorder the terms: -30 + 27 + 35x + -72x = 2(8 + -9x) Combine like terms: -30 + 27 = -3 -3 + 35x + -72x = 2(8 + -9x) Combine like terms: 35x + -72x = -37x -3 + -37x = 2(8 + -9x) -3 + -37x = (8 * 2 + -9x * 2) -3 + -37x = (16 + -18x) Solving -3 + -37x = 16 + -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. -3 + -37x + 18x = 16 + -18x + 18x Combine like terms: -37x + 18x = -19x -3 + -19x = 16 + -18x + 18x Combine like terms: -18x + 18x = 0 -3 + -19x = 16 + 0 -3 + -19x = 16 Add '3' to each side of the equation. -3 + 3 + -19x = 16 + 3 Combine like terms: -3 + 3 = 0 0 + -19x = 16 + 3 -19x = 16 + 3 Combine like terms: 16 + 3 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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