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Simplifying 6(x + -2) = 12 + -2(x + -3) Reorder the terms: 6(-2 + x) = 12 + -2(x + -3) (-2 * 6 + x * 6) = 12 + -2(x + -3) (-12 + 6x) = 12 + -2(x + -3) Reorder the terms: -12 + 6x = 12 + -2(-3 + x) -12 + 6x = 12 + (-3 * -2 + x * -2) -12 + 6x = 12 + (6 + -2x) Combine like terms: 12 + 6 = 18 -12 + 6x = 18 + -2x Solving -12 + 6x = 18 + -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. -12 + 6x + 2x = 18 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 18 + 0 -12 + 8x = 18 Add '12' to each side of the equation. -12 + 12 + 8x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 18 + 12 8x = 18 + 12 Combine like terms: 18 + 12 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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