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Simplifying 3x + 1 = 2(x + -3) Reorder the terms: 1 + 3x = 2(x + -3) Reorder the terms: 1 + 3x = 2(-3 + x) 1 + 3x = (-3 * 2 + x * 2) 1 + 3x = (-6 + 2x) Solving 1 + 3x = -6 + 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 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = -6 + 0 1 + 1x = -6 Add '-1' to each side of the equation. 1 + -1 + 1x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -6 + -1 1x = -6 + -1 Combine like terms: -6 + -1 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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