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Simplifying 6(3x + -1) + 3(2x + 3) = 1 + -7x Reorder the terms: 6(-1 + 3x) + 3(2x + 3) = 1 + -7x (-1 * 6 + 3x * 6) + 3(2x + 3) = 1 + -7x (-6 + 18x) + 3(2x + 3) = 1 + -7x Reorder the terms: -6 + 18x + 3(3 + 2x) = 1 + -7x -6 + 18x + (3 * 3 + 2x * 3) = 1 + -7x -6 + 18x + (9 + 6x) = 1 + -7x Reorder the terms: -6 + 9 + 18x + 6x = 1 + -7x Combine like terms: -6 + 9 = 3 3 + 18x + 6x = 1 + -7x Combine like terms: 18x + 6x = 24x 3 + 24x = 1 + -7x Solving 3 + 24x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + 24x + 7x = 1 + -7x + 7x Combine like terms: 24x + 7x = 31x 3 + 31x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 31x = 1 + 0 3 + 31x = 1 Add '-3' to each side of the equation. 3 + -3 + 31x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 31x = 1 + -3 31x = 1 + -3 Combine like terms: 1 + -3 = -2 31x = -2 Divide each side by '31'. x = -0.06451612903 Simplifying x = -0.06451612903
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