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Simplifying 30 = 8x + -6(x + 2) Reorder the terms: 30 = 8x + -6(2 + x) 30 = 8x + (2 * -6 + x * -6) 30 = 8x + (-12 + -6x) Reorder the terms: 30 = -12 + 8x + -6x Combine like terms: 8x + -6x = 2x 30 = -12 + 2x Solving 30 = -12 + 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. 30 + -2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -2x = -12 + 0 30 + -2x = -12 Add '-30' to each side of the equation. 30 + -30 + -2x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = -12 + -30 -2x = -12 + -30 Combine like terms: -12 + -30 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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