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Simplifying -1(3x + -4) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7 Reorder the terms: -1(-4 + 3x) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7 (-4 * -1 + 3x * -1) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7 (4 + -3x) + -1(8x + -8) + 4 = 7(x + -4) + -1(7x + 6) + 7 Reorder the terms: 4 + -3x + -1(-8 + 8x) + 4 = 7(x + -4) + -1(7x + 6) + 7 4 + -3x + (-8 * -1 + 8x * -1) + 4 = 7(x + -4) + -1(7x + 6) + 7 4 + -3x + (8 + -8x) + 4 = 7(x + -4) + -1(7x + 6) + 7 Reorder the terms: 4 + 8 + 4 + -3x + -8x = 7(x + -4) + -1(7x + 6) + 7 Combine like terms: 4 + 8 = 12 12 + 4 + -3x + -8x = 7(x + -4) + -1(7x + 6) + 7 Combine like terms: 12 + 4 = 16 16 + -3x + -8x = 7(x + -4) + -1(7x + 6) + 7 Combine like terms: -3x + -8x = -11x 16 + -11x = 7(x + -4) + -1(7x + 6) + 7 Reorder the terms: 16 + -11x = 7(-4 + x) + -1(7x + 6) + 7 16 + -11x = (-4 * 7 + x * 7) + -1(7x + 6) + 7 16 + -11x = (-28 + 7x) + -1(7x + 6) + 7 Reorder the terms: 16 + -11x = -28 + 7x + -1(6 + 7x) + 7 16 + -11x = -28 + 7x + (6 * -1 + 7x * -1) + 7 16 + -11x = -28 + 7x + (-6 + -7x) + 7 Reorder the terms: 16 + -11x = -28 + -6 + 7 + 7x + -7x Combine like terms: -28 + -6 = -34 16 + -11x = -34 + 7 + 7x + -7x Combine like terms: -34 + 7 = -27 16 + -11x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -11x = -27 + 0 16 + -11x = -27 Solving 16 + -11x = -27 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 + -11x = -27 + -16 Combine like terms: 16 + -16 = 0 0 + -11x = -27 + -16 -11x = -27 + -16 Combine like terms: -27 + -16 = -43 -11x = -43 Divide each side by '-11'. x = 3.909090909 Simplifying x = 3.909090909
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