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Simplifying 4(2x + -3) = 2(3x + 1) Reorder the terms: 4(-3 + 2x) = 2(3x + 1) (-3 * 4 + 2x * 4) = 2(3x + 1) (-12 + 8x) = 2(3x + 1) Reorder the terms: -12 + 8x = 2(1 + 3x) -12 + 8x = (1 * 2 + 3x * 2) -12 + 8x = (2 + 6x) Solving -12 + 8x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 8x + -6x = 2 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = 2 + 0 -12 + 2x = 2 Add '12' to each side of the equation. -12 + 12 + 2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 2 + 12 2x = 2 + 12 Combine like terms: 2 + 12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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