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Simplifying 2x + 6(x + -7) = 2(x + -12) Reorder the terms: 2x + 6(-7 + x) = 2(x + -12) 2x + (-7 * 6 + x * 6) = 2(x + -12) 2x + (-42 + 6x) = 2(x + -12) Reorder the terms: -42 + 2x + 6x = 2(x + -12) Combine like terms: 2x + 6x = 8x -42 + 8x = 2(x + -12) Reorder the terms: -42 + 8x = 2(-12 + x) -42 + 8x = (-12 * 2 + x * 2) -42 + 8x = (-24 + 2x) Solving -42 + 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. -42 + 8x + -2x = -24 + 2x + -2x Combine like terms: 8x + -2x = 6x -42 + 6x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 6x = -24 + 0 -42 + 6x = -24 Add '42' to each side of the equation. -42 + 42 + 6x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -24 + 42 6x = -24 + 42 Combine like terms: -24 + 42 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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