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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 = 107x -3 + 107x = 2(8 + -9x) -3 + 107x = (8 * 2 + -9x * 2) -3 + 107x = (16 + -18x) Solving -3 + 107x = 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 + 107x + 18x = 16 + -18x + 18x Combine like terms: 107x + 18x = 125x -3 + 125x = 16 + -18x + 18x Combine like terms: -18x + 18x = 0 -3 + 125x = 16 + 0 -3 + 125x = 16 Add '3' to each side of the equation. -3 + 3 + 125x = 16 + 3 Combine like terms: -3 + 3 = 0 0 + 125x = 16 + 3 125x = 16 + 3 Combine like terms: 16 + 3 = 19 125x = 19 Divide each side by '125'. x = 0.152 Simplifying x = 0.152
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