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Simplifying 6(3x + -2) = 3 + -2(4x + 1) Reorder the terms: 6(-2 + 3x) = 3 + -2(4x + 1) (-2 * 6 + 3x * 6) = 3 + -2(4x + 1) (-12 + 18x) = 3 + -2(4x + 1) Reorder the terms: -12 + 18x = 3 + -2(1 + 4x) -12 + 18x = 3 + (1 * -2 + 4x * -2) -12 + 18x = 3 + (-2 + -8x) Combine like terms: 3 + -2 = 1 -12 + 18x = 1 + -8x Solving -12 + 18x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 18x + 8x = 1 + -8x + 8x Combine like terms: 18x + 8x = 26x -12 + 26x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 26x = 1 + 0 -12 + 26x = 1 Add '12' to each side of the equation. -12 + 12 + 26x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 26x = 1 + 12 26x = 1 + 12 Combine like terms: 1 + 12 = 13 26x = 13 Divide each side by '26'. x = 0.5 Simplifying x = 0.5
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