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Simplifying 6 + 4(2x + -4) + 2x = 5 + 9x Reorder the terms: 6 + 4(-4 + 2x) + 2x = 5 + 9x 6 + (-4 * 4 + 2x * 4) + 2x = 5 + 9x 6 + (-16 + 8x) + 2x = 5 + 9x Combine like terms: 6 + -16 = -10 -10 + 8x + 2x = 5 + 9x Combine like terms: 8x + 2x = 10x -10 + 10x = 5 + 9x Solving -10 + 10x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 10x + -9x = 5 + 9x + -9x Combine like terms: 10x + -9x = 1x -10 + 1x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + 1x = 5 + 0 -10 + 1x = 5 Add '10' to each side of the equation. -10 + 10 + 1x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 5 + 10 1x = 5 + 10 Combine like terms: 5 + 10 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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