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Simplifying 4(5 + 3x) = 8x + 14 + -3(2x + -1) (5 * 4 + 3x * 4) = 8x + 14 + -3(2x + -1) (20 + 12x) = 8x + 14 + -3(2x + -1) Reorder the terms: 20 + 12x = 8x + 14 + -3(-1 + 2x) 20 + 12x = 8x + 14 + (-1 * -3 + 2x * -3) 20 + 12x = 8x + 14 + (3 + -6x) Reorder the terms: 20 + 12x = 14 + 3 + 8x + -6x Combine like terms: 14 + 3 = 17 20 + 12x = 17 + 8x + -6x Combine like terms: 8x + -6x = 2x 20 + 12x = 17 + 2x Solving 20 + 12x = 17 + 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. 20 + 12x + -2x = 17 + 2x + -2x Combine like terms: 12x + -2x = 10x 20 + 10x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 10x = 17 + 0 20 + 10x = 17 Add '-20' to each side of the equation. 20 + -20 + 10x = 17 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 17 + -20 10x = 17 + -20 Combine like terms: 17 + -20 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3
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