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Simplifying 5(x + 4) + -7(3x + -6) + 4x = 0 Reorder the terms: 5(4 + x) + -7(3x + -6) + 4x = 0 (4 * 5 + x * 5) + -7(3x + -6) + 4x = 0 (20 + 5x) + -7(3x + -6) + 4x = 0 Reorder the terms: 20 + 5x + -7(-6 + 3x) + 4x = 0 20 + 5x + (-6 * -7 + 3x * -7) + 4x = 0 20 + 5x + (42 + -21x) + 4x = 0 Reorder the terms: 20 + 42 + 5x + -21x + 4x = 0 Combine like terms: 20 + 42 = 62 62 + 5x + -21x + 4x = 0 Combine like terms: 5x + -21x = -16x 62 + -16x + 4x = 0 Combine like terms: -16x + 4x = -12x 62 + -12x = 0 Solving 62 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -12x = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -12x = 0 + -62 -12x = 0 + -62 Combine like terms: 0 + -62 = -62 -12x = -62 Divide each side by '-12'. x = 5.166666667 Simplifying x = 5.166666667
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