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Simplifying -40 = -1(-3 + -5x) + 7(4x + 8) -40 = (-3 * -1 + -5x * -1) + 7(4x + 8) -40 = (3 + 5x) + 7(4x + 8) Reorder the terms: -40 = 3 + 5x + 7(8 + 4x) -40 = 3 + 5x + (8 * 7 + 4x * 7) -40 = 3 + 5x + (56 + 28x) Reorder the terms: -40 = 3 + 56 + 5x + 28x Combine like terms: 3 + 56 = 59 -40 = 59 + 5x + 28x Combine like terms: 5x + 28x = 33x -40 = 59 + 33x Solving -40 = 59 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -40 + -33x = 59 + 33x + -33x Combine like terms: 33x + -33x = 0 -40 + -33x = 59 + 0 -40 + -33x = 59 Add '40' to each side of the equation. -40 + 40 + -33x = 59 + 40 Combine like terms: -40 + 40 = 0 0 + -33x = 59 + 40 -33x = 59 + 40 Combine like terms: 59 + 40 = 99 -33x = 99 Divide each side by '-33'. x = -3 Simplifying x = -3
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