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Simplifying -8(-7 + 8) + -7(x + 8) = -8(-7x + 8) + -9(x + 14) Combine like terms: -7 + 8 = 1 -8(1) + -7(x + 8) = -8(-7x + 8) + -9(x + 14) Multiply -8 * 1 -8 + -7(x + 8) = -8(-7x + 8) + -9(x + 14) Reorder the terms: -8 + -7(8 + x) = -8(-7x + 8) + -9(x + 14) -8 + (8 * -7 + x * -7) = -8(-7x + 8) + -9(x + 14) -8 + (-56 + -7x) = -8(-7x + 8) + -9(x + 14) Combine like terms: -8 + -56 = -64 -64 + -7x = -8(-7x + 8) + -9(x + 14) Reorder the terms: -64 + -7x = -8(8 + -7x) + -9(x + 14) -64 + -7x = (8 * -8 + -7x * -8) + -9(x + 14) -64 + -7x = (-64 + 56x) + -9(x + 14) Reorder the terms: -64 + -7x = -64 + 56x + -9(14 + x) -64 + -7x = -64 + 56x + (14 * -9 + x * -9) -64 + -7x = -64 + 56x + (-126 + -9x) Reorder the terms: -64 + -7x = -64 + -126 + 56x + -9x Combine like terms: -64 + -126 = -190 -64 + -7x = -190 + 56x + -9x Combine like terms: 56x + -9x = 47x -64 + -7x = -190 + 47x Solving -64 + -7x = -190 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. -64 + -7x + -47x = -190 + 47x + -47x Combine like terms: -7x + -47x = -54x -64 + -54x = -190 + 47x + -47x Combine like terms: 47x + -47x = 0 -64 + -54x = -190 + 0 -64 + -54x = -190 Add '64' to each side of the equation. -64 + 64 + -54x = -190 + 64 Combine like terms: -64 + 64 = 0 0 + -54x = -190 + 64 -54x = -190 + 64 Combine like terms: -190 + 64 = -126 -54x = -126 Divide each side by '-54'. x = 2.333333333 Simplifying x = 2.333333333
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