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Simplifying 5 + 2(x + -6) = 3 + -3(x + -2) Reorder the terms: 5 + 2(-6 + x) = 3 + -3(x + -2) 5 + (-6 * 2 + x * 2) = 3 + -3(x + -2) 5 + (-12 + 2x) = 3 + -3(x + -2) Combine like terms: 5 + -12 = -7 -7 + 2x = 3 + -3(x + -2) Reorder the terms: -7 + 2x = 3 + -3(-2 + x) -7 + 2x = 3 + (-2 * -3 + x * -3) -7 + 2x = 3 + (6 + -3x) Combine like terms: 3 + 6 = 9 -7 + 2x = 9 + -3x Solving -7 + 2x = 9 + -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 = 9 + -3x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 5x = 9 + 0 -7 + 5x = 9 Add '7' to each side of the equation. -7 + 7 + 5x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 9 + 7 5x = 9 + 7 Combine like terms: 9 + 7 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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