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Simplifying 8(x + 1) + -3(x + 4) = 7(x + 2) Reorder the terms: 8(1 + x) + -3(x + 4) = 7(x + 2) (1 * 8 + x * 8) + -3(x + 4) = 7(x + 2) (8 + 8x) + -3(x + 4) = 7(x + 2) Reorder the terms: 8 + 8x + -3(4 + x) = 7(x + 2) 8 + 8x + (4 * -3 + x * -3) = 7(x + 2) 8 + 8x + (-12 + -3x) = 7(x + 2) Reorder the terms: 8 + -12 + 8x + -3x = 7(x + 2) Combine like terms: 8 + -12 = -4 -4 + 8x + -3x = 7(x + 2) Combine like terms: 8x + -3x = 5x -4 + 5x = 7(x + 2) Reorder the terms: -4 + 5x = 7(2 + x) -4 + 5x = (2 * 7 + x * 7) -4 + 5x = (14 + 7x) Solving -4 + 5x = 14 + 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. -4 + 5x + -7x = 14 + 7x + -7x Combine like terms: 5x + -7x = -2x -4 + -2x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -2x = 14 + 0 -4 + -2x = 14 Add '4' to each side of the equation. -4 + 4 + -2x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 14 + 4 -2x = 14 + 4 Combine like terms: 14 + 4 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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