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Simplifying 8 + -1(16x + -13) + 4x = 10(x + 4) + 5 Reorder the terms: 8 + -1(-13 + 16x) + 4x = 10(x + 4) + 5 8 + (-13 * -1 + 16x * -1) + 4x = 10(x + 4) + 5 8 + (13 + -16x) + 4x = 10(x + 4) + 5 Combine like terms: 8 + 13 = 21 21 + -16x + 4x = 10(x + 4) + 5 Combine like terms: -16x + 4x = -12x 21 + -12x = 10(x + 4) + 5 Reorder the terms: 21 + -12x = 10(4 + x) + 5 21 + -12x = (4 * 10 + x * 10) + 5 21 + -12x = (40 + 10x) + 5 Reorder the terms: 21 + -12x = 40 + 5 + 10x Combine like terms: 40 + 5 = 45 21 + -12x = 45 + 10x Solving 21 + -12x = 45 + 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. 21 + -12x + -10x = 45 + 10x + -10x Combine like terms: -12x + -10x = -22x 21 + -22x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -22x = 45 + 0 21 + -22x = 45 Add '-21' to each side of the equation. 21 + -21 + -22x = 45 + -21 Combine like terms: 21 + -21 = 0 0 + -22x = 45 + -21 -22x = 45 + -21 Combine like terms: 45 + -21 = 24 -22x = 24 Divide each side by '-22'. x = -1.090909091 Simplifying x = -1.090909091
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