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Simplifying 5 + -7(3 + -2x) = 8(x + -1) 5 + (3 * -7 + -2x * -7) = 8(x + -1) 5 + (-21 + 14x) = 8(x + -1) Combine like terms: 5 + -21 = -16 -16 + 14x = 8(x + -1) Reorder the terms: -16 + 14x = 8(-1 + x) -16 + 14x = (-1 * 8 + x * 8) -16 + 14x = (-8 + 8x) Solving -16 + 14x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 14x + -8x = -8 + 8x + -8x Combine like terms: 14x + -8x = 6x -16 + 6x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 6x = -8 + 0 -16 + 6x = -8 Add '16' to each side of the equation. -16 + 16 + 6x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = -8 + 16 6x = -8 + 16 Combine like terms: -8 + 16 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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