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Simplifying 4(2x + 3) = 3(4x + 1) + -5(3x + -2) Reorder the terms: 4(3 + 2x) = 3(4x + 1) + -5(3x + -2) (3 * 4 + 2x * 4) = 3(4x + 1) + -5(3x + -2) (12 + 8x) = 3(4x + 1) + -5(3x + -2) Reorder the terms: 12 + 8x = 3(1 + 4x) + -5(3x + -2) 12 + 8x = (1 * 3 + 4x * 3) + -5(3x + -2) 12 + 8x = (3 + 12x) + -5(3x + -2) Reorder the terms: 12 + 8x = 3 + 12x + -5(-2 + 3x) 12 + 8x = 3 + 12x + (-2 * -5 + 3x * -5) 12 + 8x = 3 + 12x + (10 + -15x) Reorder the terms: 12 + 8x = 3 + 10 + 12x + -15x Combine like terms: 3 + 10 = 13 12 + 8x = 13 + 12x + -15x Combine like terms: 12x + -15x = -3x 12 + 8x = 13 + -3x Solving 12 + 8x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 8x + 3x = 13 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = 13 + 0 12 + 11x = 13 Add '-12' to each side of the equation. 12 + -12 + 11x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 13 + -12 11x = 13 + -12 Combine like terms: 13 + -12 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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