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Simplifying 8x + -3(x + 2) = 4(x + -1) + 5 Reorder the terms: 8x + -3(2 + x) = 4(x + -1) + 5 8x + (2 * -3 + x * -3) = 4(x + -1) + 5 8x + (-6 + -3x) = 4(x + -1) + 5 Reorder the terms: -6 + 8x + -3x = 4(x + -1) + 5 Combine like terms: 8x + -3x = 5x -6 + 5x = 4(x + -1) + 5 Reorder the terms: -6 + 5x = 4(-1 + x) + 5 -6 + 5x = (-1 * 4 + x * 4) + 5 -6 + 5x = (-4 + 4x) + 5 Reorder the terms: -6 + 5x = -4 + 5 + 4x Combine like terms: -4 + 5 = 1 -6 + 5x = 1 + 4x Solving -6 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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