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