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Simplifying 5x + 2[x + -8] = 2[x + 4] + -3x Reorder the terms: 5x + 2[-8 + x] = 2[x + 4] + -3x 5x + [-8 * 2 + x * 2] = 2[x + 4] + -3x 5x + [-16 + 2x] = 2[x + 4] + -3x Reorder the terms: -16 + 5x + 2x = 2[x + 4] + -3x Combine like terms: 5x + 2x = 7x -16 + 7x = 2[x + 4] + -3x Reorder the terms: -16 + 7x = 2[4 + x] + -3x -16 + 7x = [4 * 2 + x * 2] + -3x -16 + 7x = [8 + 2x] + -3x Combine like terms: 2x + -3x = -1x -16 + 7x = 8 + -1x Solving -16 + 7x = 8 + -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. -16 + 7x + x = 8 + -1x + x Combine like terms: 7x + x = 8x -16 + 8x = 8 + -1x + x Combine like terms: -1x + x = 0 -16 + 8x = 8 + 0 -16 + 8x = 8 Add '16' to each side of the equation. -16 + 16 + 8x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 8 + 16 8x = 8 + 16 Combine like terms: 8 + 16 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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