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Simplifying -8(x + -3) + 4(x + -2) + -2(3x + 1) = 0 Reorder the terms: -8(-3 + x) + 4(x + -2) + -2(3x + 1) = 0 (-3 * -8 + x * -8) + 4(x + -2) + -2(3x + 1) = 0 (24 + -8x) + 4(x + -2) + -2(3x + 1) = 0 Reorder the terms: 24 + -8x + 4(-2 + x) + -2(3x + 1) = 0 24 + -8x + (-2 * 4 + x * 4) + -2(3x + 1) = 0 24 + -8x + (-8 + 4x) + -2(3x + 1) = 0 Reorder the terms: 24 + -8x + -8 + 4x + -2(1 + 3x) = 0 24 + -8x + -8 + 4x + (1 * -2 + 3x * -2) = 0 24 + -8x + -8 + 4x + (-2 + -6x) = 0 Reorder the terms: 24 + -8 + -2 + -8x + 4x + -6x = 0 Combine like terms: 24 + -8 = 16 16 + -2 + -8x + 4x + -6x = 0 Combine like terms: 16 + -2 = 14 14 + -8x + 4x + -6x = 0 Combine like terms: -8x + 4x = -4x 14 + -4x + -6x = 0 Combine like terms: -4x + -6x = -10x 14 + -10x = 0 Solving 14 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -10x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 0 + -14 -10x = 0 + -14 Combine like terms: 0 + -14 = -14 -10x = -14 Divide each side by '-10'. x = 1.4 Simplifying x = 1.4
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