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Simplifying -5(1 + 6x) = -29 + -6x (1 * -5 + 6x * -5) = -29 + -6x (-5 + -30x) = -29 + -6x Solving -5 + -30x = -29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + -30x + 6x = -29 + -6x + 6x Combine like terms: -30x + 6x = -24x -5 + -24x = -29 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + -24x = -29 + 0 -5 + -24x = -29 Add '5' to each side of the equation. -5 + 5 + -24x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + -24x = -29 + 5 -24x = -29 + 5 Combine like terms: -29 + 5 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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