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Simplifying 5[4x + 7 + -5(x + 1)] = 7x + 7 Reorder the terms: 5[4x + 7 + -5(1 + x)] = 7x + 7 5[4x + 7 + (1 * -5 + x * -5)] = 7x + 7 5[4x + 7 + (-5 + -5x)] = 7x + 7 Reorder the terms: 5[7 + -5 + 4x + -5x] = 7x + 7 Combine like terms: 7 + -5 = 2 5[2 + 4x + -5x] = 7x + 7 Combine like terms: 4x + -5x = -1x 5[2 + -1x] = 7x + 7 [2 * 5 + -1x * 5] = 7x + 7 [10 + -5x] = 7x + 7 Reorder the terms: 10 + -5x = 7 + 7x Solving 10 + -5x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -5x + -7x = 7 + 7x + -7x Combine like terms: -5x + -7x = -12x 10 + -12x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -12x = 7 + 0 10 + -12x = 7 Add '-10' to each side of the equation. 10 + -10 + -12x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 7 + -10 -12x = 7 + -10 Combine like terms: 7 + -10 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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