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Simplifying 4[-5x + 7 + -3(x + 1)] = -5x + 4 Reorder the terms: 4[-5x + 7 + -3(1 + x)] = -5x + 4 4[-5x + 7 + (1 * -3 + x * -3)] = -5x + 4 4[-5x + 7 + (-3 + -3x)] = -5x + 4 Reorder the terms: 4[7 + -3 + -5x + -3x] = -5x + 4 Combine like terms: 7 + -3 = 4 4[4 + -5x + -3x] = -5x + 4 Combine like terms: -5x + -3x = -8x 4[4 + -8x] = -5x + 4 [4 * 4 + -8x * 4] = -5x + 4 [16 + -32x] = -5x + 4 Reorder the terms: 16 + -32x = 4 + -5x Solving 16 + -32x = 4 + -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. 16 + -32x + 5x = 4 + -5x + 5x Combine like terms: -32x + 5x = -27x 16 + -27x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + -27x = 4 + 0 16 + -27x = 4 Add '-16' to each side of the equation. 16 + -16 + -27x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -27x = 4 + -16 -27x = 4 + -16 Combine like terms: 4 + -16 = -12 -27x = -12 Divide each side by '-27'. x = 0.4444444444 Simplifying x = 0.4444444444
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