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Simplifying -6x + 40 = 2x + -4(5x + -1) Reorder the terms: 40 + -6x = 2x + -4(5x + -1) Reorder the terms: 40 + -6x = 2x + -4(-1 + 5x) 40 + -6x = 2x + (-1 * -4 + 5x * -4) 40 + -6x = 2x + (4 + -20x) Reorder the terms: 40 + -6x = 4 + 2x + -20x Combine like terms: 2x + -20x = -18x 40 + -6x = 4 + -18x Solving 40 + -6x = 4 + -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. 40 + -6x + 18x = 4 + -18x + 18x Combine like terms: -6x + 18x = 12x 40 + 12x = 4 + -18x + 18x Combine like terms: -18x + 18x = 0 40 + 12x = 4 + 0 40 + 12x = 4 Add '-40' to each side of the equation. 40 + -40 + 12x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = 4 + -40 12x = 4 + -40 Combine like terms: 4 + -40 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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