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Simplifying 6x + 30(x + -12) = 2(x + -1) Reorder the terms: 6x + 30(-12 + x) = 2(x + -1) 6x + (-12 * 30 + x * 30) = 2(x + -1) 6x + (-360 + 30x) = 2(x + -1) Reorder the terms: -360 + 6x + 30x = 2(x + -1) Combine like terms: 6x + 30x = 36x -360 + 36x = 2(x + -1) Reorder the terms: -360 + 36x = 2(-1 + x) -360 + 36x = (-1 * 2 + x * 2) -360 + 36x = (-2 + 2x) Solving -360 + 36x = -2 + 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 = -2 + 2x + -2x Combine like terms: 36x + -2x = 34x -360 + 34x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -360 + 34x = -2 + 0 -360 + 34x = -2 Add '360' to each side of the equation. -360 + 360 + 34x = -2 + 360 Combine like terms: -360 + 360 = 0 0 + 34x = -2 + 360 34x = -2 + 360 Combine like terms: -2 + 360 = 358 34x = 358 Divide each side by '34'. x = 10.52941176 Simplifying x = 10.52941176
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