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Simplifying 4(x + 2) + -6(3x + 2) = x + 2(-1x + -2) Reorder the terms: 4(2 + x) + -6(3x + 2) = x + 2(-1x + -2) (2 * 4 + x * 4) + -6(3x + 2) = x + 2(-1x + -2) (8 + 4x) + -6(3x + 2) = x + 2(-1x + -2) Reorder the terms: 8 + 4x + -6(2 + 3x) = x + 2(-1x + -2) 8 + 4x + (2 * -6 + 3x * -6) = x + 2(-1x + -2) 8 + 4x + (-12 + -18x) = x + 2(-1x + -2) Reorder the terms: 8 + -12 + 4x + -18x = x + 2(-1x + -2) Combine like terms: 8 + -12 = -4 -4 + 4x + -18x = x + 2(-1x + -2) Combine like terms: 4x + -18x = -14x -4 + -14x = x + 2(-1x + -2) Reorder the terms: -4 + -14x = x + 2(-2 + -1x) -4 + -14x = x + (-2 * 2 + -1x * 2) -4 + -14x = x + (-4 + -2x) Reorder the terms: -4 + -14x = -4 + x + -2x Combine like terms: x + -2x = -1x -4 + -14x = -4 + -1x Add '4' to each side of the equation. -4 + 4 + -14x = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 0 + -14x = -4 + 4 + -1x -14x = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 -14x = 0 + -1x -14x = -1x Solving -14x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -14x + x = -1x + x Combine like terms: -14x + x = -13x -13x = -1x + x Combine like terms: -1x + x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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