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Simplifying 8x + 2(-5 + -6x) = -7(4x + -2) 8x + (-5 * 2 + -6x * 2) = -7(4x + -2) 8x + (-10 + -12x) = -7(4x + -2) Reorder the terms: -10 + 8x + -12x = -7(4x + -2) Combine like terms: 8x + -12x = -4x -10 + -4x = -7(4x + -2) Reorder the terms: -10 + -4x = -7(-2 + 4x) -10 + -4x = (-2 * -7 + 4x * -7) -10 + -4x = (14 + -28x) Solving -10 + -4x = 14 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -10 + -4x + 28x = 14 + -28x + 28x Combine like terms: -4x + 28x = 24x -10 + 24x = 14 + -28x + 28x Combine like terms: -28x + 28x = 0 -10 + 24x = 14 + 0 -10 + 24x = 14 Add '10' to each side of the equation. -10 + 10 + 24x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 24x = 14 + 10 24x = 14 + 10 Combine like terms: 14 + 10 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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