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Simplifying 2(4x + -9) + 6 = 10x + 9 Reorder the terms: 2(-9 + 4x) + 6 = 10x + 9 (-9 * 2 + 4x * 2) + 6 = 10x + 9 (-18 + 8x) + 6 = 10x + 9 Reorder the terms: -18 + 6 + 8x = 10x + 9 Combine like terms: -18 + 6 = -12 -12 + 8x = 10x + 9 Reorder the terms: -12 + 8x = 9 + 10x Solving -12 + 8x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 8x + -10x = 9 + 10x + -10x Combine like terms: 8x + -10x = -2x -12 + -2x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -2x = 9 + 0 -12 + -2x = 9 Add '12' to each side of the equation. -12 + 12 + -2x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 9 + 12 -2x = 9 + 12 Combine like terms: 9 + 12 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5
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