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Simplifying 6(3x + -1) = 4(x + 1) + -3 Reorder the terms: 6(-1 + 3x) = 4(x + 1) + -3 (-1 * 6 + 3x * 6) = 4(x + 1) + -3 (-6 + 18x) = 4(x + 1) + -3 Reorder the terms: -6 + 18x = 4(1 + x) + -3 -6 + 18x = (1 * 4 + x * 4) + -3 -6 + 18x = (4 + 4x) + -3 Reorder the terms: -6 + 18x = 4 + -3 + 4x Combine like terms: 4 + -3 = 1 -6 + 18x = 1 + 4x Solving -6 + 18x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 18x + -4x = 1 + 4x + -4x Combine like terms: 18x + -4x = 14x -6 + 14x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 14x = 1 + 0 -6 + 14x = 1 Add '6' to each side of the equation. -6 + 6 + 14x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 1 + 6 14x = 1 + 6 Combine like terms: 1 + 6 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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