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Simplifying 6(-2x + -5) + -1[3(x + -7) + 4] = 0 Reorder the terms: 6(-5 + -2x) + -1[3(x + -7) + 4] = 0 (-5 * 6 + -2x * 6) + -1[3(x + -7) + 4] = 0 (-30 + -12x) + -1[3(x + -7) + 4] = 0 Reorder the terms: -30 + -12x + -1[3(-7 + x) + 4] = 0 -30 + -12x + -1[(-7 * 3 + x * 3) + 4] = 0 -30 + -12x + -1[(-21 + 3x) + 4] = 0 Reorder the terms: -30 + -12x + -1[-21 + 4 + 3x] = 0 Combine like terms: -21 + 4 = -17 -30 + -12x + -1[-17 + 3x] = 0 -30 + -12x + [-17 * -1 + 3x * -1] = 0 -30 + -12x + [17 + -3x] = 0 Reorder the terms: -30 + 17 + -12x + -3x = 0 Combine like terms: -30 + 17 = -13 -13 + -12x + -3x = 0 Combine like terms: -12x + -3x = -15x -13 + -15x = 0 Solving -13 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -15x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -15x = 0 + 13 -15x = 0 + 13 Combine like terms: 0 + 13 = 13 -15x = 13 Divide each side by '-15'. x = -0.8666666667 Simplifying x = -0.8666666667
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