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Simplifying 6x + 30(x + -12) = 2(x + -1 + -12) Reorder the terms: 6x + 30(-12 + x) = 2(x + -1 + -12) 6x + (-12 * 30 + x * 30) = 2(x + -1 + -12) 6x + (-360 + 30x) = 2(x + -1 + -12) Reorder the terms: -360 + 6x + 30x = 2(x + -1 + -12) Combine like terms: 6x + 30x = 36x -360 + 36x = 2(x + -1 + -12) Reorder the terms: -360 + 36x = 2(-1 + -12 + x) Combine like terms: -1 + -12 = -13 -360 + 36x = 2(-13 + x) -360 + 36x = (-13 * 2 + x * 2) -360 + 36x = (-26 + 2x) Solving -360 + 36x = -26 + 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 + 36x + -2x = -26 + 2x + -2x Combine like terms: 36x + -2x = 34x -360 + 34x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -360 + 34x = -26 + 0 -360 + 34x = -26 Add '360' to each side of the equation. -360 + 360 + 34x = -26 + 360 Combine like terms: -360 + 360 = 0 0 + 34x = -26 + 360 34x = -26 + 360 Combine like terms: -26 + 360 = 334 34x = 334 Divide each side by '34'. x = 9.823529412 Simplifying x = 9.823529412
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