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Simplifying 9 + -2(x + 4) + -10(25 + -1x + 4) = -3x + -4(x + 1) Reorder the terms: 9 + -2(4 + x) + -10(25 + -1x + 4) = -3x + -4(x + 1) 9 + (4 * -2 + x * -2) + -10(25 + -1x + 4) = -3x + -4(x + 1) 9 + (-8 + -2x) + -10(25 + -1x + 4) = -3x + -4(x + 1) Reorder the terms: 9 + -8 + -2x + -10(25 + 4 + -1x) = -3x + -4(x + 1) Combine like terms: 25 + 4 = 29 9 + -8 + -2x + -10(29 + -1x) = -3x + -4(x + 1) 9 + -8 + -2x + (29 * -10 + -1x * -10) = -3x + -4(x + 1) 9 + -8 + -2x + (-290 + 10x) = -3x + -4(x + 1) Reorder the terms: 9 + -8 + -290 + -2x + 10x = -3x + -4(x + 1) Combine like terms: 9 + -8 = 1 1 + -290 + -2x + 10x = -3x + -4(x + 1) Combine like terms: 1 + -290 = -289 -289 + -2x + 10x = -3x + -4(x + 1) Combine like terms: -2x + 10x = 8x -289 + 8x = -3x + -4(x + 1) Reorder the terms: -289 + 8x = -3x + -4(1 + x) -289 + 8x = -3x + (1 * -4 + x * -4) -289 + 8x = -3x + (-4 + -4x) Reorder the terms: -289 + 8x = -4 + -3x + -4x Combine like terms: -3x + -4x = -7x -289 + 8x = -4 + -7x Solving -289 + 8x = -4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -289 + 8x + 7x = -4 + -7x + 7x Combine like terms: 8x + 7x = 15x -289 + 15x = -4 + -7x + 7x Combine like terms: -7x + 7x = 0 -289 + 15x = -4 + 0 -289 + 15x = -4 Add '289' to each side of the equation. -289 + 289 + 15x = -4 + 289 Combine like terms: -289 + 289 = 0 0 + 15x = -4 + 289 15x = -4 + 289 Combine like terms: -4 + 289 = 285 15x = 285 Divide each side by '15'. x = 19 Simplifying x = 19
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