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Simplifying 5x + -3 + 6x + 1 = 5 + -2(x + 4) Reorder the terms: -3 + 1 + 5x + 6x = 5 + -2(x + 4) Combine like terms: -3 + 1 = -2 -2 + 5x + 6x = 5 + -2(x + 4) Combine like terms: 5x + 6x = 11x -2 + 11x = 5 + -2(x + 4) Reorder the terms: -2 + 11x = 5 + -2(4 + x) -2 + 11x = 5 + (4 * -2 + x * -2) -2 + 11x = 5 + (-8 + -2x) Combine like terms: 5 + -8 = -3 -2 + 11x = -3 + -2x Solving -2 + 11x = -3 + -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. -2 + 11x + 2x = -3 + -2x + 2x Combine like terms: 11x + 2x = 13x -2 + 13x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 13x = -3 + 0 -2 + 13x = -3 Add '2' to each side of the equation. -2 + 2 + 13x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = -3 + 2 13x = -3 + 2 Combine like terms: -3 + 2 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692
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