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Simplifying 5x + -3 = -3(x + 6) + 2(x + 5) Reorder the terms: -3 + 5x = -3(x + 6) + 2(x + 5) Reorder the terms: -3 + 5x = -3(6 + x) + 2(x + 5) -3 + 5x = (6 * -3 + x * -3) + 2(x + 5) -3 + 5x = (-18 + -3x) + 2(x + 5) Reorder the terms: -3 + 5x = -18 + -3x + 2(5 + x) -3 + 5x = -18 + -3x + (5 * 2 + x * 2) -3 + 5x = -18 + -3x + (10 + 2x) Reorder the terms: -3 + 5x = -18 + 10 + -3x + 2x Combine like terms: -18 + 10 = -8 -3 + 5x = -8 + -3x + 2x Combine like terms: -3x + 2x = -1x -3 + 5x = -8 + -1x Solving -3 + 5x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 5x + x = -8 + -1x + x Combine like terms: 5x + x = 6x -3 + 6x = -8 + -1x + x Combine like terms: -1x + x = 0 -3 + 6x = -8 + 0 -3 + 6x = -8 Add '3' to each side of the equation. -3 + 3 + 6x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = -8 + 3 6x = -8 + 3 Combine like terms: -8 + 3 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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