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Simplifying 6(x + -2) + -4x + 10 + 4(2x + 3) = 0 Reorder the terms: 6(-2 + x) + -4x + 10 + 4(2x + 3) = 0 (-2 * 6 + x * 6) + -4x + 10 + 4(2x + 3) = 0 (-12 + 6x) + -4x + 10 + 4(2x + 3) = 0 Reorder the terms: -12 + 6x + -4x + 10 + 4(3 + 2x) = 0 -12 + 6x + -4x + 10 + (3 * 4 + 2x * 4) = 0 -12 + 6x + -4x + 10 + (12 + 8x) = 0 Reorder the terms: -12 + 10 + 12 + 6x + -4x + 8x = 0 Combine like terms: -12 + 10 = -2 -2 + 12 + 6x + -4x + 8x = 0 Combine like terms: -2 + 12 = 10 10 + 6x + -4x + 8x = 0 Combine like terms: 6x + -4x = 2x 10 + 2x + 8x = 0 Combine like terms: 2x + 8x = 10x 10 + 10x = 0 Solving 10 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 10x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 0 + -10 10x = 0 + -10 Combine like terms: 0 + -10 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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