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Simplifying 4[5x + -1(2x + -7)] = 2(4x + -5) Reorder the terms: 4[5x + -1(-7 + 2x)] = 2(4x + -5) 4[5x + (-7 * -1 + 2x * -1)] = 2(4x + -5) 4[5x + (7 + -2x)] = 2(4x + -5) Reorder the terms: 4[7 + 5x + -2x] = 2(4x + -5) Combine like terms: 5x + -2x = 3x 4[7 + 3x] = 2(4x + -5) [7 * 4 + 3x * 4] = 2(4x + -5) [28 + 12x] = 2(4x + -5) Reorder the terms: 28 + 12x = 2(-5 + 4x) 28 + 12x = (-5 * 2 + 4x * 2) 28 + 12x = (-10 + 8x) Solving 28 + 12x = -10 + 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. 28 + 12x + -8x = -10 + 8x + -8x Combine like terms: 12x + -8x = 4x 28 + 4x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + 4x = -10 + 0 28 + 4x = -10 Add '-28' to each side of the equation. 28 + -28 + 4x = -10 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = -10 + -28 4x = -10 + -28 Combine like terms: -10 + -28 = -38 4x = -38 Divide each side by '4'. x = -9.5 Simplifying x = -9.5
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