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