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Simplifying 3(2x + -1) + 6(x + 2) = 6(7 + -3x) Reorder the terms: 3(-1 + 2x) + 6(x + 2) = 6(7 + -3x) (-1 * 3 + 2x * 3) + 6(x + 2) = 6(7 + -3x) (-3 + 6x) + 6(x + 2) = 6(7 + -3x) Reorder the terms: -3 + 6x + 6(2 + x) = 6(7 + -3x) -3 + 6x + (2 * 6 + x * 6) = 6(7 + -3x) -3 + 6x + (12 + 6x) = 6(7 + -3x) Reorder the terms: -3 + 12 + 6x + 6x = 6(7 + -3x) Combine like terms: -3 + 12 = 9 9 + 6x + 6x = 6(7 + -3x) Combine like terms: 6x + 6x = 12x 9 + 12x = 6(7 + -3x) 9 + 12x = (7 * 6 + -3x * 6) 9 + 12x = (42 + -18x) Solving 9 + 12x = 42 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 9 + 12x + 18x = 42 + -18x + 18x Combine like terms: 12x + 18x = 30x 9 + 30x = 42 + -18x + 18x Combine like terms: -18x + 18x = 0 9 + 30x = 42 + 0 9 + 30x = 42 Add '-9' to each side of the equation. 9 + -9 + 30x = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 30x = 42 + -9 30x = 42 + -9 Combine like terms: 42 + -9 = 33 30x = 33 Divide each side by '30'. x = 1.1 Simplifying x = 1.1
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