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Simplifying -7[7x + 4 + -3(x + 1)] = -4x + -4 Reorder the terms: -7[7x + 4 + -3(1 + x)] = -4x + -4 -7[7x + 4 + (1 * -3 + x * -3)] = -4x + -4 -7[7x + 4 + (-3 + -3x)] = -4x + -4 Reorder the terms: -7[4 + -3 + 7x + -3x] = -4x + -4 Combine like terms: 4 + -3 = 1 -7[1 + 7x + -3x] = -4x + -4 Combine like terms: 7x + -3x = 4x -7[1 + 4x] = -4x + -4 [1 * -7 + 4x * -7] = -4x + -4 [-7 + -28x] = -4x + -4 Reorder the terms: -7 + -28x = -4 + -4x Solving -7 + -28x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + -28x + 4x = -4 + -4x + 4x Combine like terms: -28x + 4x = -24x -7 + -24x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + -24x = -4 + 0 -7 + -24x = -4 Add '7' to each side of the equation. -7 + 7 + -24x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -24x = -4 + 7 -24x = -4 + 7 Combine like terms: -4 + 7 = 3 -24x = 3 Divide each side by '-24'. x = -0.125 Simplifying x = -0.125
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