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Simplifying 3 + -2(3x + 1) = 3x + -1(x + 3) Reorder the terms: 3 + -2(1 + 3x) = 3x + -1(x + 3) 3 + (1 * -2 + 3x * -2) = 3x + -1(x + 3) 3 + (-2 + -6x) = 3x + -1(x + 3) Combine like terms: 3 + -2 = 1 1 + -6x = 3x + -1(x + 3) Reorder the terms: 1 + -6x = 3x + -1(3 + x) 1 + -6x = 3x + (3 * -1 + x * -1) 1 + -6x = 3x + (-3 + -1x) Reorder the terms: 1 + -6x = -3 + 3x + -1x Combine like terms: 3x + -1x = 2x 1 + -6x = -3 + 2x Solving 1 + -6x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -6x + -2x = -3 + 2x + -2x Combine like terms: -6x + -2x = -8x 1 + -8x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -8x = -3 + 0 1 + -8x = -3 Add '-1' to each side of the equation. 1 + -1 + -8x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -3 + -1 -8x = -3 + -1 Combine like terms: -3 + -1 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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