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Simplifying 4[-5x + 7 + -3(x + 1)] = -5 + 4 Reorder the terms: 4[-5x + 7 + -3(1 + x)] = -5 + 4 4[-5x + 7 + (1 * -3 + x * -3)] = -5 + 4 4[-5x + 7 + (-3 + -3x)] = -5 + 4 Reorder the terms: 4[7 + -3 + -5x + -3x] = -5 + 4 Combine like terms: 7 + -3 = 4 4[4 + -5x + -3x] = -5 + 4 Combine like terms: -5x + -3x = -8x 4[4 + -8x] = -5 + 4 [4 * 4 + -8x * 4] = -5 + 4 [16 + -32x] = -5 + 4 Combine like terms: -5 + 4 = -1 16 + -32x = -1 Solving 16 + -32x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -32x = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -32x = -1 + -16 -32x = -1 + -16 Combine like terms: -1 + -16 = -17 -32x = -17 Divide each side by '-32'. x = 0.53125 Simplifying x = 0.53125
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