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Simplifying 17x + -9(1 + x) = 4(3x + -1) + 7 17x + (1 * -9 + x * -9) = 4(3x + -1) + 7 17x + (-9 + -9x) = 4(3x + -1) + 7 Reorder the terms: -9 + 17x + -9x = 4(3x + -1) + 7 Combine like terms: 17x + -9x = 8x -9 + 8x = 4(3x + -1) + 7 Reorder the terms: -9 + 8x = 4(-1 + 3x) + 7 -9 + 8x = (-1 * 4 + 3x * 4) + 7 -9 + 8x = (-4 + 12x) + 7 Reorder the terms: -9 + 8x = -4 + 7 + 12x Combine like terms: -4 + 7 = 3 -9 + 8x = 3 + 12x Solving -9 + 8x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 8x + -12x = 3 + 12x + -12x Combine like terms: 8x + -12x = -4x -9 + -4x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -4x = 3 + 0 -9 + -4x = 3 Add '9' to each side of the equation. -9 + 9 + -4x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 3 + 9 -4x = 3 + 9 Combine like terms: 3 + 9 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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