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Simplifying 7(-4x + -3) + -1(x + -8) = 9(x + 2) + 5 Reorder the terms: 7(-3 + -4x) + -1(x + -8) = 9(x + 2) + 5 (-3 * 7 + -4x * 7) + -1(x + -8) = 9(x + 2) + 5 (-21 + -28x) + -1(x + -8) = 9(x + 2) + 5 Reorder the terms: -21 + -28x + -1(-8 + x) = 9(x + 2) + 5 -21 + -28x + (-8 * -1 + x * -1) = 9(x + 2) + 5 -21 + -28x + (8 + -1x) = 9(x + 2) + 5 Reorder the terms: -21 + 8 + -28x + -1x = 9(x + 2) + 5 Combine like terms: -21 + 8 = -13 -13 + -28x + -1x = 9(x + 2) + 5 Combine like terms: -28x + -1x = -29x -13 + -29x = 9(x + 2) + 5 Reorder the terms: -13 + -29x = 9(2 + x) + 5 -13 + -29x = (2 * 9 + x * 9) + 5 -13 + -29x = (18 + 9x) + 5 Reorder the terms: -13 + -29x = 18 + 5 + 9x Combine like terms: 18 + 5 = 23 -13 + -29x = 23 + 9x Solving -13 + -29x = 23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + -29x + -9x = 23 + 9x + -9x Combine like terms: -29x + -9x = -38x -13 + -38x = 23 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -38x = 23 + 0 -13 + -38x = 23 Add '13' to each side of the equation. -13 + 13 + -38x = 23 + 13 Combine like terms: -13 + 13 = 0 0 + -38x = 23 + 13 -38x = 23 + 13 Combine like terms: 23 + 13 = 36 -38x = 36 Divide each side by '-38'. x = -0.9473684211 Simplifying x = -0.9473684211
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