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Simplifying 6x + -2(x + 2) = 2 + -3(x + 3) Reorder the terms: 6x + -2(2 + x) = 2 + -3(x + 3) 6x + (2 * -2 + x * -2) = 2 + -3(x + 3) 6x + (-4 + -2x) = 2 + -3(x + 3) Reorder the terms: -4 + 6x + -2x = 2 + -3(x + 3) Combine like terms: 6x + -2x = 4x -4 + 4x = 2 + -3(x + 3) Reorder the terms: -4 + 4x = 2 + -3(3 + x) -4 + 4x = 2 + (3 * -3 + x * -3) -4 + 4x = 2 + (-9 + -3x) Combine like terms: 2 + -9 = -7 -4 + 4x = -7 + -3x Solving -4 + 4x = -7 + -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. -4 + 4x + 3x = -7 + -3x + 3x Combine like terms: 4x + 3x = 7x -4 + 7x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 7x = -7 + 0 -4 + 7x = -7 Add '4' to each side of the equation. -4 + 4 + 7x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -7 + 4 7x = -7 + 4 Combine like terms: -7 + 4 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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