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Simplifying 4(x + 2) + -6(3x + 2) = x + 2(x + -2) Reorder the terms: 4(2 + x) + -6(3x + 2) = x + 2(x + -2) (2 * 4 + x * 4) + -6(3x + 2) = x + 2(x + -2) (8 + 4x) + -6(3x + 2) = x + 2(x + -2) Reorder the terms: 8 + 4x + -6(2 + 3x) = x + 2(x + -2) 8 + 4x + (2 * -6 + 3x * -6) = x + 2(x + -2) 8 + 4x + (-12 + -18x) = x + 2(x + -2) Reorder the terms: 8 + -12 + 4x + -18x = x + 2(x + -2) Combine like terms: 8 + -12 = -4 -4 + 4x + -18x = x + 2(x + -2) Combine like terms: 4x + -18x = -14x -4 + -14x = x + 2(x + -2) Reorder the terms: -4 + -14x = x + 2(-2 + x) -4 + -14x = x + (-2 * 2 + x * 2) -4 + -14x = x + (-4 + 2x) Reorder the terms: -4 + -14x = -4 + x + 2x Combine like terms: x + 2x = 3x -4 + -14x = -4 + 3x Add '4' to each side of the equation. -4 + 4 + -14x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 0 + -14x = -4 + 4 + 3x -14x = -4 + 4 + 3x Combine like terms: -4 + 4 = 0 -14x = 0 + 3x -14x = 3x Solving -14x = 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. -14x + -3x = 3x + -3x Combine like terms: -14x + -3x = -17x -17x = 3x + -3x Combine like terms: 3x + -3x = 0 -17x = 0 Divide each side by '-17'. x = 0 Simplifying x = 0
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