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Simplifying 3(2x + 1) = 4(x + -3) Reorder the terms: 3(1 + 2x) = 4(x + -3) (1 * 3 + 2x * 3) = 4(x + -3) (3 + 6x) = 4(x + -3) Reorder the terms: 3 + 6x = 4(-3 + x) 3 + 6x = (-3 * 4 + x * 4) 3 + 6x = (-12 + 4x) Solving 3 + 6x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x 3 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 2x = -12 + 0 3 + 2x = -12 Add '-3' to each side of the equation. 3 + -3 + 2x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -12 + -3 2x = -12 + -3 Combine like terms: -12 + -3 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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