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Simplifying 4x + -3(x + 8) + 6(4 + -1x) + -1(2x + -3) = 0 Reorder the terms: 4x + -3(8 + x) + 6(4 + -1x) + -1(2x + -3) = 0 4x + (8 * -3 + x * -3) + 6(4 + -1x) + -1(2x + -3) = 0 4x + (-24 + -3x) + 6(4 + -1x) + -1(2x + -3) = 0 4x + -24 + -3x + (4 * 6 + -1x * 6) + -1(2x + -3) = 0 4x + -24 + -3x + (24 + -6x) + -1(2x + -3) = 0 Reorder the terms: 4x + -24 + -3x + 24 + -6x + -1(-3 + 2x) = 0 4x + -24 + -3x + 24 + -6x + (-3 * -1 + 2x * -1) = 0 4x + -24 + -3x + 24 + -6x + (3 + -2x) = 0 Reorder the terms: -24 + 24 + 3 + 4x + -3x + -6x + -2x = 0 Combine like terms: -24 + 24 = 0 0 + 3 + 4x + -3x + -6x + -2x = 0 3 + 4x + -3x + -6x + -2x = 0 Combine like terms: 4x + -3x = 1x 3 + 1x + -6x + -2x = 0 Combine like terms: 1x + -6x = -5x 3 + -5x + -2x = 0 Combine like terms: -5x + -2x = -7x 3 + -7x = 0 Solving 3 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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