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Simplifying 4x + -3(4 + -2x) = 2(x + -3) + 6x + 2 4x + (4 * -3 + -2x * -3) = 2(x + -3) + 6x + 2 4x + (-12 + 6x) = 2(x + -3) + 6x + 2 Reorder the terms: -12 + 4x + 6x = 2(x + -3) + 6x + 2 Combine like terms: 4x + 6x = 10x -12 + 10x = 2(x + -3) + 6x + 2 Reorder the terms: -12 + 10x = 2(-3 + x) + 6x + 2 -12 + 10x = (-3 * 2 + x * 2) + 6x + 2 -12 + 10x = (-6 + 2x) + 6x + 2 Reorder the terms: -12 + 10x = -6 + 2 + 2x + 6x Combine like terms: -6 + 2 = -4 -12 + 10x = -4 + 2x + 6x Combine like terms: 2x + 6x = 8x -12 + 10x = -4 + 8x Solving -12 + 10x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 10x + -8x = -4 + 8x + -8x Combine like terms: 10x + -8x = 2x -12 + 2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 2x = -4 + 0 -12 + 2x = -4 Add '12' to each side of the equation. -12 + 12 + 2x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -4 + 12 2x = -4 + 12 Combine like terms: -4 + 12 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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