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Simplifying -2(x + 6) + 5 = 3(x + 5) + 1 Reorder the terms: -2(6 + x) + 5 = 3(x + 5) + 1 (6 * -2 + x * -2) + 5 = 3(x + 5) + 1 (-12 + -2x) + 5 = 3(x + 5) + 1 Reorder the terms: -12 + 5 + -2x = 3(x + 5) + 1 Combine like terms: -12 + 5 = -7 -7 + -2x = 3(x + 5) + 1 Reorder the terms: -7 + -2x = 3(5 + x) + 1 -7 + -2x = (5 * 3 + x * 3) + 1 -7 + -2x = (15 + 3x) + 1 Reorder the terms: -7 + -2x = 15 + 1 + 3x Combine like terms: 15 + 1 = 16 -7 + -2x = 16 + 3x Solving -7 + -2x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + -2x + -3x = 16 + 3x + -3x Combine like terms: -2x + -3x = -5x -7 + -5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -5x = 16 + 0 -7 + -5x = 16 Add '7' to each side of the equation. -7 + 7 + -5x = 16 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 16 + 7 -5x = 16 + 7 Combine like terms: 16 + 7 = 23 -5x = 23 Divide each side by '-5'. x = -4.6 Simplifying x = -4.6
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