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Simplifying 2[3x + -4] + 10 = 5[x + 4] Reorder the terms: 2[-4 + 3x] + 10 = 5[x + 4] [-4 * 2 + 3x * 2] + 10 = 5[x + 4] [-8 + 6x] + 10 = 5[x + 4] Reorder the terms: -8 + 10 + 6x = 5[x + 4] Combine like terms: -8 + 10 = 2 2 + 6x = 5[x + 4] Reorder the terms: 2 + 6x = 5[4 + x] 2 + 6x = [4 * 5 + x * 5] 2 + 6x = [20 + 5x] Solving 2 + 6x = 20 + 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. 2 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = 20 + 0 2 + 1x = 20 Add '-2' to each side of the equation. 2 + -2 + 1x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 20 + -2 1x = 20 + -2 Combine like terms: 20 + -2 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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