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Simplifying 5[x + 1] = 2[4x + 7] Reorder the terms: 5[1 + x] = 2[4x + 7] [1 * 5 + x * 5] = 2[4x + 7] [5 + 5x] = 2[4x + 7] Reorder the terms: 5 + 5x = 2[7 + 4x] 5 + 5x = [7 * 2 + 4x * 2] 5 + 5x = [14 + 8x] Solving 5 + 5x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 5x + -8x = 14 + 8x + -8x Combine like terms: 5x + -8x = -3x 5 + -3x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -3x = 14 + 0 5 + -3x = 14 Add '-5' to each side of the equation. 5 + -5 + -3x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 14 + -5 -3x = 14 + -5 Combine like terms: 14 + -5 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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