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Simplifying 2(3x + -7) + -5 = 2(x + -5) + 23 Reorder the terms: 2(-7 + 3x) + -5 = 2(x + -5) + 23 (-7 * 2 + 3x * 2) + -5 = 2(x + -5) + 23 (-14 + 6x) + -5 = 2(x + -5) + 23 Reorder the terms: -14 + -5 + 6x = 2(x + -5) + 23 Combine like terms: -14 + -5 = -19 -19 + 6x = 2(x + -5) + 23 Reorder the terms: -19 + 6x = 2(-5 + x) + 23 -19 + 6x = (-5 * 2 + x * 2) + 23 -19 + 6x = (-10 + 2x) + 23 Reorder the terms: -19 + 6x = -10 + 23 + 2x Combine like terms: -10 + 23 = 13 -19 + 6x = 13 + 2x Solving -19 + 6x = 13 + 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 = 13 + 2x + -2x Combine like terms: 6x + -2x = 4x -19 + 4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 4x = 13 + 0 -19 + 4x = 13 Add '19' to each side of the equation. -19 + 19 + 4x = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 13 + 19 4x = 13 + 19 Combine like terms: 13 + 19 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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