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Simplifying 7(5x + 4) + -3(7x + 9) + 10x = 8(-7) + -3 Reorder the terms: 7(4 + 5x) + -3(7x + 9) + 10x = 8(-7) + -3 (4 * 7 + 5x * 7) + -3(7x + 9) + 10x = 8(-7) + -3 (28 + 35x) + -3(7x + 9) + 10x = 8(-7) + -3 Reorder the terms: 28 + 35x + -3(9 + 7x) + 10x = 8(-7) + -3 28 + 35x + (9 * -3 + 7x * -3) + 10x = 8(-7) + -3 28 + 35x + (-27 + -21x) + 10x = 8(-7) + -3 Reorder the terms: 28 + -27 + 35x + -21x + 10x = 8(-7) + -3 Combine like terms: 28 + -27 = 1 1 + 35x + -21x + 10x = 8(-7) + -3 Combine like terms: 35x + -21x = 14x 1 + 14x + 10x = 8(-7) + -3 Combine like terms: 14x + 10x = 24x 1 + 24x = 8(-7) + -3 Multiply 8 * -7 1 + 24x = -56 + -3 Combine like terms: -56 + -3 = -59 1 + 24x = -59 Solving 1 + 24x = -59 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 24x = -59 + -1 Combine like terms: 1 + -1 = 0 0 + 24x = -59 + -1 24x = -59 + -1 Combine like terms: -59 + -1 = -60 24x = -60 Divide each side by '24'. x = -2.5 Simplifying x = -2.5
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