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Simplifying -2(x + 6) + 4 = 6(x + 5) + 5 Reorder the terms: -2(6 + x) + 4 = 6(x + 5) + 5 (6 * -2 + x * -2) + 4 = 6(x + 5) + 5 (-12 + -2x) + 4 = 6(x + 5) + 5 Reorder the terms: -12 + 4 + -2x = 6(x + 5) + 5 Combine like terms: -12 + 4 = -8 -8 + -2x = 6(x + 5) + 5 Reorder the terms: -8 + -2x = 6(5 + x) + 5 -8 + -2x = (5 * 6 + x * 6) + 5 -8 + -2x = (30 + 6x) + 5 Reorder the terms: -8 + -2x = 30 + 5 + 6x Combine like terms: 30 + 5 = 35 -8 + -2x = 35 + 6x Solving -8 + -2x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + -2x + -6x = 35 + 6x + -6x Combine like terms: -2x + -6x = -8x -8 + -8x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -8x = 35 + 0 -8 + -8x = 35 Add '8' to each side of the equation. -8 + 8 + -8x = 35 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 35 + 8 -8x = 35 + 8 Combine like terms: 35 + 8 = 43 -8x = 43 Divide each side by '-8'. x = -5.375 Simplifying x = -5.375
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