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Simplifying -5x + -3(1 + -8x) = -3(6x + 1) -5x + (1 * -3 + -8x * -3) = -3(6x + 1) -5x + (-3 + 24x) = -3(6x + 1) Reorder the terms: -3 + -5x + 24x = -3(6x + 1) Combine like terms: -5x + 24x = 19x -3 + 19x = -3(6x + 1) Reorder the terms: -3 + 19x = -3(1 + 6x) -3 + 19x = (1 * -3 + 6x * -3) -3 + 19x = (-3 + -18x) Add '3' to each side of the equation. -3 + 3 + 19x = -3 + 3 + -18x Combine like terms: -3 + 3 = 0 0 + 19x = -3 + 3 + -18x 19x = -3 + 3 + -18x Combine like terms: -3 + 3 = 0 19x = 0 + -18x 19x = -18x Solving 19x = -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 19x + 18x = -18x + 18x Combine like terms: 19x + 18x = 37x 37x = -18x + 18x Combine like terms: -18x + 18x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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