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Simplifying 2(x + -3) = 8 + -1(2x + 30) Reorder the terms: 2(-3 + x) = 8 + -1(2x + 30) (-3 * 2 + x * 2) = 8 + -1(2x + 30) (-6 + 2x) = 8 + -1(2x + 30) Reorder the terms: -6 + 2x = 8 + -1(30 + 2x) -6 + 2x = 8 + (30 * -1 + 2x * -1) -6 + 2x = 8 + (-30 + -2x) Combine like terms: 8 + -30 = -22 -6 + 2x = -22 + -2x Solving -6 + 2x = -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. -6 + 2x + 2x = -22 + -2x + 2x Combine like terms: 2x + 2x = 4x -6 + 4x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 4x = -22 + 0 -6 + 4x = -22 Add '6' to each side of the equation. -6 + 6 + 4x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -22 + 6 4x = -22 + 6 Combine like terms: -22 + 6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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