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Simplifying 8(x + -2) + 7(1 + x) = 7x + 5x Reorder the terms: 8(-2 + x) + 7(1 + x) = 7x + 5x (-2 * 8 + x * 8) + 7(1 + x) = 7x + 5x (-16 + 8x) + 7(1 + x) = 7x + 5x -16 + 8x + (1 * 7 + x * 7) = 7x + 5x -16 + 8x + (7 + 7x) = 7x + 5x Reorder the terms: -16 + 7 + 8x + 7x = 7x + 5x Combine like terms: -16 + 7 = -9 -9 + 8x + 7x = 7x + 5x Combine like terms: 8x + 7x = 15x -9 + 15x = 7x + 5x Combine like terms: 7x + 5x = 12x -9 + 15x = 12x Solving -9 + 15x = 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 + 15x + -12x = 12x + -12x Combine like terms: 15x + -12x = 3x -9 + 3x = 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 3x = 0 Add '9' to each side of the equation. -9 + 9 + 3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 0 + 9 3x = 0 + 9 Combine like terms: 0 + 9 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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