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Simplifying 2[3x + 5] = 5[x + -7] Reorder the terms: 2[5 + 3x] = 5[x + -7] [5 * 2 + 3x * 2] = 5[x + -7] [10 + 6x] = 5[x + -7] Reorder the terms: 10 + 6x = 5[-7 + x] 10 + 6x = [-7 * 5 + x * 5] 10 + 6x = [-35 + 5x] Solving 10 + 6x = -35 + 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. 10 + 6x + -5x = -35 + 5x + -5x Combine like terms: 6x + -5x = 1x 10 + 1x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 1x = -35 + 0 10 + 1x = -35 Add '-10' to each side of the equation. 10 + -10 + 1x = -35 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -35 + -10 1x = -35 + -10 Combine like terms: -35 + -10 = -45 1x = -45 Divide each side by '1'. x = -45 Simplifying x = -45
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