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Simplifying -4[3(x + -2) + -2(x + 2)] + -6(x + -3) = 0 Reorder the terms: -4[3(-2 + x) + -2(x + 2)] + -6(x + -3) = 0 -4[(-2 * 3 + x * 3) + -2(x + 2)] + -6(x + -3) = 0 -4[(-6 + 3x) + -2(x + 2)] + -6(x + -3) = 0 Reorder the terms: -4[-6 + 3x + -2(2 + x)] + -6(x + -3) = 0 -4[-6 + 3x + (2 * -2 + x * -2)] + -6(x + -3) = 0 -4[-6 + 3x + (-4 + -2x)] + -6(x + -3) = 0 Reorder the terms: -4[-6 + -4 + 3x + -2x] + -6(x + -3) = 0 Combine like terms: -6 + -4 = -10 -4[-10 + 3x + -2x] + -6(x + -3) = 0 Combine like terms: 3x + -2x = 1x -4[-10 + 1x] + -6(x + -3) = 0 [-10 * -4 + 1x * -4] + -6(x + -3) = 0 [40 + -4x] + -6(x + -3) = 0 Reorder the terms: 40 + -4x + -6(-3 + x) = 0 40 + -4x + (-3 * -6 + x * -6) = 0 40 + -4x + (18 + -6x) = 0 Reorder the terms: 40 + 18 + -4x + -6x = 0 Combine like terms: 40 + 18 = 58 58 + -4x + -6x = 0 Combine like terms: -4x + -6x = -10x 58 + -10x = 0 Solving 58 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -10x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -10x = 0 + -58 -10x = 0 + -58 Combine like terms: 0 + -58 = -58 -10x = -58 Divide each side by '-10'. x = 5.8 Simplifying x = 5.8
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