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Simplifying 6x + -30(x + 12) = 2(x + -11) Reorder the terms: 6x + -30(12 + x) = 2(x + -11) 6x + (12 * -30 + x * -30) = 2(x + -11) 6x + (-360 + -30x) = 2(x + -11) Reorder the terms: -360 + 6x + -30x = 2(x + -11) Combine like terms: 6x + -30x = -24x -360 + -24x = 2(x + -11) Reorder the terms: -360 + -24x = 2(-11 + x) -360 + -24x = (-11 * 2 + x * 2) -360 + -24x = (-22 + 2x) Solving -360 + -24x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -360 + -24x + -2x = -22 + 2x + -2x Combine like terms: -24x + -2x = -26x -360 + -26x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -360 + -26x = -22 + 0 -360 + -26x = -22 Add '360' to each side of the equation. -360 + 360 + -26x = -22 + 360 Combine like terms: -360 + 360 = 0 0 + -26x = -22 + 360 -26x = -22 + 360 Combine like terms: -22 + 360 = 338 -26x = 338 Divide each side by '-26'. x = -13 Simplifying x = -13
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