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Simplifying 5 + -7(-3 + x) + -6 = 5(4 + -2x) + 4 5 + (-3 * -7 + x * -7) + -6 = 5(4 + -2x) + 4 5 + (21 + -7x) + -6 = 5(4 + -2x) + 4 Reorder the terms: 5 + 21 + -6 + -7x = 5(4 + -2x) + 4 Combine like terms: 5 + 21 = 26 26 + -6 + -7x = 5(4 + -2x) + 4 Combine like terms: 26 + -6 = 20 20 + -7x = 5(4 + -2x) + 4 20 + -7x = (4 * 5 + -2x * 5) + 4 20 + -7x = (20 + -10x) + 4 Reorder the terms: 20 + -7x = 20 + 4 + -10x Combine like terms: 20 + 4 = 24 20 + -7x = 24 + -10x Solving 20 + -7x = 24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 20 + -7x + 10x = 24 + -10x + 10x Combine like terms: -7x + 10x = 3x 20 + 3x = 24 + -10x + 10x Combine like terms: -10x + 10x = 0 20 + 3x = 24 + 0 20 + 3x = 24 Add '-20' to each side of the equation. 20 + -20 + 3x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 24 + -20 3x = 24 + -20 Combine like terms: 24 + -20 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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