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Simplifying 2(x + 3) + -3(2x + 1) = 4(1 + -3x) Reorder the terms: 2(3 + x) + -3(2x + 1) = 4(1 + -3x) (3 * 2 + x * 2) + -3(2x + 1) = 4(1 + -3x) (6 + 2x) + -3(2x + 1) = 4(1 + -3x) Reorder the terms: 6 + 2x + -3(1 + 2x) = 4(1 + -3x) 6 + 2x + (1 * -3 + 2x * -3) = 4(1 + -3x) 6 + 2x + (-3 + -6x) = 4(1 + -3x) Reorder the terms: 6 + -3 + 2x + -6x = 4(1 + -3x) Combine like terms: 6 + -3 = 3 3 + 2x + -6x = 4(1 + -3x) Combine like terms: 2x + -6x = -4x 3 + -4x = 4(1 + -3x) 3 + -4x = (1 * 4 + -3x * 4) 3 + -4x = (4 + -12x) Solving 3 + -4x = 4 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 3 + -4x + 12x = 4 + -12x + 12x Combine like terms: -4x + 12x = 8x 3 + 8x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 3 + 8x = 4 + 0 3 + 8x = 4 Add '-3' to each side of the equation. 3 + -3 + 8x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 4 + -3 8x = 4 + -3 Combine like terms: 4 + -3 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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