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Simplifying -2x + 30 = 2(3x + -1) Reorder the terms: 30 + -2x = 2(3x + -1) Reorder the terms: 30 + -2x = 2(-1 + 3x) 30 + -2x = (-1 * 2 + 3x * 2) 30 + -2x = (-2 + 6x) Solving 30 + -2x = -2 + 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. 30 + -2x + -6x = -2 + 6x + -6x Combine like terms: -2x + -6x = -8x 30 + -8x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -8x = -2 + 0 30 + -8x = -2 Add '-30' to each side of the equation. 30 + -30 + -8x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = -2 + -30 -8x = -2 + -30 Combine like terms: -2 + -30 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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