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Simplifying 6(2 + -1x) + -1(x + 3) = 3(-1x + 1) (2 * 6 + -1x * 6) + -1(x + 3) = 3(-1x + 1) (12 + -6x) + -1(x + 3) = 3(-1x + 1) Reorder the terms: 12 + -6x + -1(3 + x) = 3(-1x + 1) 12 + -6x + (3 * -1 + x * -1) = 3(-1x + 1) 12 + -6x + (-3 + -1x) = 3(-1x + 1) Reorder the terms: 12 + -3 + -6x + -1x = 3(-1x + 1) Combine like terms: 12 + -3 = 9 9 + -6x + -1x = 3(-1x + 1) Combine like terms: -6x + -1x = -7x 9 + -7x = 3(-1x + 1) Reorder the terms: 9 + -7x = 3(1 + -1x) 9 + -7x = (1 * 3 + -1x * 3) 9 + -7x = (3 + -3x) Solving 9 + -7x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -7x + 3x = 3 + -3x + 3x Combine like terms: -7x + 3x = -4x 9 + -4x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -4x = 3 + 0 9 + -4x = 3 Add '-9' to each side of the equation. 9 + -9 + -4x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 3 + -9 -4x = 3 + -9 Combine like terms: 3 + -9 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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