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Simplifying 2(x + -4) + 10x = 9x + 13 Reorder the terms: 2(-4 + x) + 10x = 9x + 13 (-4 * 2 + x * 2) + 10x = 9x + 13 (-8 + 2x) + 10x = 9x + 13 Combine like terms: 2x + 10x = 12x -8 + 12x = 9x + 13 Reorder the terms: -8 + 12x = 13 + 9x Solving -8 + 12x = 13 + 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. -8 + 12x + -9x = 13 + 9x + -9x Combine like terms: 12x + -9x = 3x -8 + 3x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 3x = 13 + 0 -8 + 3x = 13 Add '8' to each side of the equation. -8 + 8 + 3x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 13 + 8 3x = 13 + 8 Combine like terms: 13 + 8 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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