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Simplifying -7 + -3(1 + 8x) = -5(x + 2) -7 + (1 * -3 + 8x * -3) = -5(x + 2) -7 + (-3 + -24x) = -5(x + 2) Combine like terms: -7 + -3 = -10 -10 + -24x = -5(x + 2) Reorder the terms: -10 + -24x = -5(2 + x) -10 + -24x = (2 * -5 + x * -5) -10 + -24x = (-10 + -5x) Add '10' to each side of the equation. -10 + 10 + -24x = -10 + 10 + -5x Combine like terms: -10 + 10 = 0 0 + -24x = -10 + 10 + -5x -24x = -10 + 10 + -5x Combine like terms: -10 + 10 = 0 -24x = 0 + -5x -24x = -5x Solving -24x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24x + 5x = -5x + 5x Combine like terms: -24x + 5x = -19x -19x = -5x + 5x Combine like terms: -5x + 5x = 0 -19x = 0 Divide each side by '-19'. x = 0 Simplifying x = 0
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