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Simplifying 2(3x + -7) + -5 = 3 + -1(4x + -5) Reorder the terms: 2(-7 + 3x) + -5 = 3 + -1(4x + -5) (-7 * 2 + 3x * 2) + -5 = 3 + -1(4x + -5) (-14 + 6x) + -5 = 3 + -1(4x + -5) Reorder the terms: -14 + -5 + 6x = 3 + -1(4x + -5) Combine like terms: -14 + -5 = -19 -19 + 6x = 3 + -1(4x + -5) Reorder the terms: -19 + 6x = 3 + -1(-5 + 4x) -19 + 6x = 3 + (-5 * -1 + 4x * -1) -19 + 6x = 3 + (5 + -4x) Combine like terms: 3 + 5 = 8 -19 + 6x = 8 + -4x Solving -19 + 6x = 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. -19 + 6x + 4x = 8 + -4x + 4x Combine like terms: 6x + 4x = 10x -19 + 10x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -19 + 10x = 8 + 0 -19 + 10x = 8 Add '19' to each side of the equation. -19 + 19 + 10x = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 10x = 8 + 19 10x = 8 + 19 Combine like terms: 8 + 19 = 27 10x = 27 Divide each side by '10'. x = 2.7 Simplifying x = 2.7
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