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Simplifying 2(x + -6) + 7 = 5 + -3(x + -2) Reorder the terms: 2(-6 + x) + 7 = 5 + -3(x + -2) (-6 * 2 + x * 2) + 7 = 5 + -3(x + -2) (-12 + 2x) + 7 = 5 + -3(x + -2) Reorder the terms: -12 + 7 + 2x = 5 + -3(x + -2) Combine like terms: -12 + 7 = -5 -5 + 2x = 5 + -3(x + -2) Reorder the terms: -5 + 2x = 5 + -3(-2 + x) -5 + 2x = 5 + (-2 * -3 + x * -3) -5 + 2x = 5 + (6 + -3x) Combine like terms: 5 + 6 = 11 -5 + 2x = 11 + -3x Solving -5 + 2x = 11 + -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. -5 + 2x + 3x = 11 + -3x + 3x Combine like terms: 2x + 3x = 5x -5 + 5x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 5x = 11 + 0 -5 + 5x = 11 Add '5' to each side of the equation. -5 + 5 + 5x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 11 + 5 5x = 11 + 5 Combine like terms: 11 + 5 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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