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Simplifying -6 + 3(x + -2) = 4x + -1(3x + -1) Reorder the terms: -6 + 3(-2 + x) = 4x + -1(3x + -1) -6 + (-2 * 3 + x * 3) = 4x + -1(3x + -1) -6 + (-6 + 3x) = 4x + -1(3x + -1) Combine like terms: -6 + -6 = -12 -12 + 3x = 4x + -1(3x + -1) Reorder the terms: -12 + 3x = 4x + -1(-1 + 3x) -12 + 3x = 4x + (-1 * -1 + 3x * -1) -12 + 3x = 4x + (1 + -3x) Reorder the terms: -12 + 3x = 1 + 4x + -3x Combine like terms: 4x + -3x = 1x -12 + 3x = 1 + 1x Solving -12 + 3x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 3x + -1x = 1 + 1x + -1x Combine like terms: 3x + -1x = 2x -12 + 2x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 2x = 1 + 0 -12 + 2x = 1 Add '12' to each side of the equation. -12 + 12 + 2x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 1 + 12 2x = 1 + 12 Combine like terms: 1 + 12 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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