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Simplifying 3(2x + -5) + x = -3(x + -3) + -1(x + 1) Reorder the terms: 3(-5 + 2x) + x = -3(x + -3) + -1(x + 1) (-5 * 3 + 2x * 3) + x = -3(x + -3) + -1(x + 1) (-15 + 6x) + x = -3(x + -3) + -1(x + 1) Combine like terms: 6x + x = 7x -15 + 7x = -3(x + -3) + -1(x + 1) Reorder the terms: -15 + 7x = -3(-3 + x) + -1(x + 1) -15 + 7x = (-3 * -3 + x * -3) + -1(x + 1) -15 + 7x = (9 + -3x) + -1(x + 1) Reorder the terms: -15 + 7x = 9 + -3x + -1(1 + x) -15 + 7x = 9 + -3x + (1 * -1 + x * -1) -15 + 7x = 9 + -3x + (-1 + -1x) Reorder the terms: -15 + 7x = 9 + -1 + -3x + -1x Combine like terms: 9 + -1 = 8 -15 + 7x = 8 + -3x + -1x Combine like terms: -3x + -1x = -4x -15 + 7x = 8 + -4x Solving -15 + 7x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 7x + 4x = 8 + -4x + 4x Combine like terms: 7x + 4x = 11x -15 + 11x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 11x = 8 + 0 -15 + 11x = 8 Add '15' to each side of the equation. -15 + 15 + 11x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 8 + 15 11x = 8 + 15 Combine like terms: 8 + 15 = 23 11x = 23 Divide each side by '11'. x = 2.090909091 Simplifying x = 2.090909091
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