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Simplifying 8(x + 1) + -3(x + 4) = (2 + -1x) Reorder the terms: 8(1 + x) + -3(x + 4) = (2 + -1x) (1 * 8 + x * 8) + -3(x + 4) = (2 + -1x) (8 + 8x) + -3(x + 4) = (2 + -1x) Reorder the terms: 8 + 8x + -3(4 + x) = (2 + -1x) 8 + 8x + (4 * -3 + x * -3) = (2 + -1x) 8 + 8x + (-12 + -3x) = (2 + -1x) Reorder the terms: 8 + -12 + 8x + -3x = (2 + -1x) Combine like terms: 8 + -12 = -4 -4 + 8x + -3x = (2 + -1x) Combine like terms: 8x + -3x = 5x -4 + 5x = (2 + -1x) Remove parenthesis around (2 + -1x) -4 + 5x = 2 + -1x Solving -4 + 5x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 5x + x = 2 + -1x + x Combine like terms: 5x + x = 6x -4 + 6x = 2 + -1x + x Combine like terms: -1x + x = 0 -4 + 6x = 2 + 0 -4 + 6x = 2 Add '4' to each side of the equation. -4 + 4 + 6x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 2 + 4 6x = 2 + 4 Combine like terms: 2 + 4 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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