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Simplifying -40 + -8x = 6 + -5(6x + -4) Reorder the terms: -40 + -8x = 6 + -5(-4 + 6x) -40 + -8x = 6 + (-4 * -5 + 6x * -5) -40 + -8x = 6 + (20 + -30x) Combine like terms: 6 + 20 = 26 -40 + -8x = 26 + -30x Solving -40 + -8x = 26 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -40 + -8x + 30x = 26 + -30x + 30x Combine like terms: -8x + 30x = 22x -40 + 22x = 26 + -30x + 30x Combine like terms: -30x + 30x = 0 -40 + 22x = 26 + 0 -40 + 22x = 26 Add '40' to each side of the equation. -40 + 40 + 22x = 26 + 40 Combine like terms: -40 + 40 = 0 0 + 22x = 26 + 40 22x = 26 + 40 Combine like terms: 26 + 40 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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