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Simplifying 4x + -5[4(x + 3) + -1(x + -2)] + -5 = 0 Reorder the terms: 4x + -5[4(3 + x) + -1(x + -2)] + -5 = 0 4x + -5[(3 * 4 + x * 4) + -1(x + -2)] + -5 = 0 4x + -5[(12 + 4x) + -1(x + -2)] + -5 = 0 Reorder the terms: 4x + -5[12 + 4x + -1(-2 + x)] + -5 = 0 4x + -5[12 + 4x + (-2 * -1 + x * -1)] + -5 = 0 4x + -5[12 + 4x + (2 + -1x)] + -5 = 0 Reorder the terms: 4x + -5[12 + 2 + 4x + -1x] + -5 = 0 Combine like terms: 12 + 2 = 14 4x + -5[14 + 4x + -1x] + -5 = 0 Combine like terms: 4x + -1x = 3x 4x + -5[14 + 3x] + -5 = 0 4x + [14 * -5 + 3x * -5] + -5 = 0 4x + [-70 + -15x] + -5 = 0 Reorder the terms: -70 + -5 + 4x + -15x = 0 Combine like terms: -70 + -5 = -75 -75 + 4x + -15x = 0 Combine like terms: 4x + -15x = -11x -75 + -11x = 0 Solving -75 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -11x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -11x = 0 + 75 -11x = 0 + 75 Combine like terms: 0 + 75 = 75 -11x = 75 Divide each side by '-11'. x = -6.818181818 Simplifying x = -6.818181818
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