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Simplifying 15x + -8 = 3x + 2 + -1(x + 5) Reorder the terms: -8 + 15x = 3x + 2 + -1(x + 5) Reorder the terms: -8 + 15x = 3x + 2 + -1(5 + x) -8 + 15x = 3x + 2 + (5 * -1 + x * -1) -8 + 15x = 3x + 2 + (-5 + -1x) Reorder the terms: -8 + 15x = 2 + -5 + 3x + -1x Combine like terms: 2 + -5 = -3 -8 + 15x = -3 + 3x + -1x Combine like terms: 3x + -1x = 2x -8 + 15x = -3 + 2x Solving -8 + 15x = -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. -8 + 15x + -2x = -3 + 2x + -2x Combine like terms: 15x + -2x = 13x -8 + 13x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 13x = -3 + 0 -8 + 13x = -3 Add '8' to each side of the equation. -8 + 8 + 13x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = -3 + 8 13x = -3 + 8 Combine like terms: -3 + 8 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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