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Simplifying 5[x + -6] + 8 = 3[x + -4] + 11 Reorder the terms: 5[-6 + x] + 8 = 3[x + -4] + 11 [-6 * 5 + x * 5] + 8 = 3[x + -4] + 11 [-30 + 5x] + 8 = 3[x + -4] + 11 Reorder the terms: -30 + 8 + 5x = 3[x + -4] + 11 Combine like terms: -30 + 8 = -22 -22 + 5x = 3[x + -4] + 11 Reorder the terms: -22 + 5x = 3[-4 + x] + 11 -22 + 5x = [-4 * 3 + x * 3] + 11 -22 + 5x = [-12 + 3x] + 11 Reorder the terms: -22 + 5x = -12 + 11 + 3x Combine like terms: -12 + 11 = -1 -22 + 5x = -1 + 3x Solving -22 + 5x = -1 + 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. -22 + 5x + -3x = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x -22 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 2x = -1 + 0 -22 + 2x = -1 Add '22' to each side of the equation. -22 + 22 + 2x = -1 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -1 + 22 2x = -1 + 22 Combine like terms: -1 + 22 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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