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Simplifying 7 + 6(x + -5) = 2 + -2(x + -7) Reorder the terms: 7 + 6(-5 + x) = 2 + -2(x + -7) 7 + (-5 * 6 + x * 6) = 2 + -2(x + -7) 7 + (-30 + 6x) = 2 + -2(x + -7) Combine like terms: 7 + -30 = -23 -23 + 6x = 2 + -2(x + -7) Reorder the terms: -23 + 6x = 2 + -2(-7 + x) -23 + 6x = 2 + (-7 * -2 + x * -2) -23 + 6x = 2 + (14 + -2x) Combine like terms: 2 + 14 = 16 -23 + 6x = 16 + -2x Solving -23 + 6x = 16 + -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. -23 + 6x + 2x = 16 + -2x + 2x Combine like terms: 6x + 2x = 8x -23 + 8x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -23 + 8x = 16 + 0 -23 + 8x = 16 Add '23' to each side of the equation. -23 + 23 + 8x = 16 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 16 + 23 8x = 16 + 23 Combine like terms: 16 + 23 = 39 8x = 39 Divide each side by '8'. x = 4.875 Simplifying x = 4.875
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