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Simplifying 4(x + -4) + -1(9 + -7x) = 10x Reorder the terms: 4(-4 + x) + -1(9 + -7x) = 10x (-4 * 4 + x * 4) + -1(9 + -7x) = 10x (-16 + 4x) + -1(9 + -7x) = 10x -16 + 4x + (9 * -1 + -7x * -1) = 10x -16 + 4x + (-9 + 7x) = 10x Reorder the terms: -16 + -9 + 4x + 7x = 10x Combine like terms: -16 + -9 = -25 -25 + 4x + 7x = 10x Combine like terms: 4x + 7x = 11x -25 + 11x = 10x Solving -25 + 11x = 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. -25 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x -25 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 -25 + 1x = 0 Add '25' to each side of the equation. -25 + 25 + 1x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 0 + 25 1x = 0 + 25 Combine like terms: 0 + 25 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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