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Simplifying 6[x + -8] + 4 = 2[x + -8] + 6 Reorder the terms: 6[-8 + x] + 4 = 2[x + -8] + 6 [-8 * 6 + x * 6] + 4 = 2[x + -8] + 6 [-48 + 6x] + 4 = 2[x + -8] + 6 Reorder the terms: -48 + 4 + 6x = 2[x + -8] + 6 Combine like terms: -48 + 4 = -44 -44 + 6x = 2[x + -8] + 6 Reorder the terms: -44 + 6x = 2[-8 + x] + 6 -44 + 6x = [-8 * 2 + x * 2] + 6 -44 + 6x = [-16 + 2x] + 6 Reorder the terms: -44 + 6x = -16 + 6 + 2x Combine like terms: -16 + 6 = -10 -44 + 6x = -10 + 2x Solving -44 + 6x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -44 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x -44 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -44 + 4x = -10 + 0 -44 + 4x = -10 Add '44' to each side of the equation. -44 + 44 + 4x = -10 + 44 Combine like terms: -44 + 44 = 0 0 + 4x = -10 + 44 4x = -10 + 44 Combine like terms: -10 + 44 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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