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Simplifying 4[-2x + -6 + -7(x + 1)] = -4x + -5 Reorder the terms: 4[-2x + -6 + -7(1 + x)] = -4x + -5 4[-2x + -6 + (1 * -7 + x * -7)] = -4x + -5 4[-2x + -6 + (-7 + -7x)] = -4x + -5 Reorder the terms: 4[-6 + -7 + -2x + -7x] = -4x + -5 Combine like terms: -6 + -7 = -13 4[-13 + -2x + -7x] = -4x + -5 Combine like terms: -2x + -7x = -9x 4[-13 + -9x] = -4x + -5 [-13 * 4 + -9x * 4] = -4x + -5 [-52 + -36x] = -4x + -5 Reorder the terms: -52 + -36x = -5 + -4x Solving -52 + -36x = -5 + -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. -52 + -36x + 4x = -5 + -4x + 4x Combine like terms: -36x + 4x = -32x -52 + -32x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -52 + -32x = -5 + 0 -52 + -32x = -5 Add '52' to each side of the equation. -52 + 52 + -32x = -5 + 52 Combine like terms: -52 + 52 = 0 0 + -32x = -5 + 52 -32x = -5 + 52 Combine like terms: -5 + 52 = 47 -32x = 47 Divide each side by '-32'. x = -1.46875 Simplifying x = -1.46875
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