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Simplifying 2(3x + -7) + -5 = (2x + -2) + 9 Reorder the terms: 2(-7 + 3x) + -5 = (2x + -2) + 9 (-7 * 2 + 3x * 2) + -5 = (2x + -2) + 9 (-14 + 6x) + -5 = (2x + -2) + 9 Reorder the terms: -14 + -5 + 6x = (2x + -2) + 9 Combine like terms: -14 + -5 = -19 -19 + 6x = (2x + -2) + 9 Reorder the terms: -19 + 6x = (-2 + 2x) + 9 Remove parenthesis around (-2 + 2x) -19 + 6x = -2 + 2x + 9 Reorder the terms: -19 + 6x = -2 + 9 + 2x Combine like terms: -2 + 9 = 7 -19 + 6x = 7 + 2x Solving -19 + 6x = 7 + 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. -19 + 6x + -2x = 7 + 2x + -2x Combine like terms: 6x + -2x = 4x -19 + 4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 4x = 7 + 0 -19 + 4x = 7 Add '19' to each side of the equation. -19 + 19 + 4x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 7 + 19 4x = 7 + 19 Combine like terms: 7 + 19 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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