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Simplifying 5[4x + 1 + -7(x + 1)] = 4x + -6 Reorder the terms: 5[4x + 1 + -7(1 + x)] = 4x + -6 5[4x + 1 + (1 * -7 + x * -7)] = 4x + -6 5[4x + 1 + (-7 + -7x)] = 4x + -6 Reorder the terms: 5[1 + -7 + 4x + -7x] = 4x + -6 Combine like terms: 1 + -7 = -6 5[-6 + 4x + -7x] = 4x + -6 Combine like terms: 4x + -7x = -3x 5[-6 + -3x] = 4x + -6 [-6 * 5 + -3x * 5] = 4x + -6 [-30 + -15x] = 4x + -6 Reorder the terms: -30 + -15x = -6 + 4x Solving -30 + -15x = -6 + 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. -30 + -15x + -4x = -6 + 4x + -4x Combine like terms: -15x + -4x = -19x -30 + -19x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -19x = -6 + 0 -30 + -19x = -6 Add '30' to each side of the equation. -30 + 30 + -19x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -19x = -6 + 30 -19x = -6 + 30 Combine like terms: -6 + 30 = 24 -19x = 24 Divide each side by '-19'. x = -1.263157895 Simplifying x = -1.263157895
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