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Simplifying 7(x + -6) + 23 = 2(x + -7) Reorder the terms: 7(-6 + x) + 23 = 2(x + -7) (-6 * 7 + x * 7) + 23 = 2(x + -7) (-42 + 7x) + 23 = 2(x + -7) Reorder the terms: -42 + 23 + 7x = 2(x + -7) Combine like terms: -42 + 23 = -19 -19 + 7x = 2(x + -7) Reorder the terms: -19 + 7x = 2(-7 + x) -19 + 7x = (-7 * 2 + x * 2) -19 + 7x = (-14 + 2x) Solving -19 + 7x = -14 + 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 + 7x + -2x = -14 + 2x + -2x Combine like terms: 7x + -2x = 5x -19 + 5x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 5x = -14 + 0 -19 + 5x = -14 Add '19' to each side of the equation. -19 + 19 + 5x = -14 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = -14 + 19 5x = -14 + 19 Combine like terms: -14 + 19 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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