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Simplifying 8x + 2(3x + 4) = 2x + -3(5x + 1) Reorder the terms: 8x + 2(4 + 3x) = 2x + -3(5x + 1) 8x + (4 * 2 + 3x * 2) = 2x + -3(5x + 1) 8x + (8 + 6x) = 2x + -3(5x + 1) Reorder the terms: 8 + 8x + 6x = 2x + -3(5x + 1) Combine like terms: 8x + 6x = 14x 8 + 14x = 2x + -3(5x + 1) Reorder the terms: 8 + 14x = 2x + -3(1 + 5x) 8 + 14x = 2x + (1 * -3 + 5x * -3) 8 + 14x = 2x + (-3 + -15x) Reorder the terms: 8 + 14x = -3 + 2x + -15x Combine like terms: 2x + -15x = -13x 8 + 14x = -3 + -13x Solving 8 + 14x = -3 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 8 + 14x + 13x = -3 + -13x + 13x Combine like terms: 14x + 13x = 27x 8 + 27x = -3 + -13x + 13x Combine like terms: -13x + 13x = 0 8 + 27x = -3 + 0 8 + 27x = -3 Add '-8' to each side of the equation. 8 + -8 + 27x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 27x = -3 + -8 27x = -3 + -8 Combine like terms: -3 + -8 = -11 27x = -11 Divide each side by '27'. x = -0.4074074074 Simplifying x = -0.4074074074
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