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Simplifying 2x + 6(x + -5) = 2(x + -12) Reorder the terms: 2x + 6(-5 + x) = 2(x + -12) 2x + (-5 * 6 + x * 6) = 2(x + -12) 2x + (-30 + 6x) = 2(x + -12) Reorder the terms: -30 + 2x + 6x = 2(x + -12) Combine like terms: 2x + 6x = 8x -30 + 8x = 2(x + -12) Reorder the terms: -30 + 8x = 2(-12 + x) -30 + 8x = (-12 * 2 + x * 2) -30 + 8x = (-24 + 2x) Solving -30 + 8x = -24 + 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 + 8x + -2x = -24 + 2x + -2x Combine like terms: 8x + -2x = 6x -30 + 6x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 6x = -24 + 0 -30 + 6x = -24 Add '30' to each side of the equation. -30 + 30 + 6x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = -24 + 30 6x = -24 + 30 Combine like terms: -24 + 30 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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