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Simplifying 16[4 + -1(3 + -2x)] + 13 = 5(9x + 4) + -4 16[4 + (3 * -1 + -2x * -1)] + 13 = 5(9x + 4) + -4 16[4 + (-3 + 2x)] + 13 = 5(9x + 4) + -4 Combine like terms: 4 + -3 = 1 16[1 + 2x] + 13 = 5(9x + 4) + -4 [1 * 16 + 2x * 16] + 13 = 5(9x + 4) + -4 [16 + 32x] + 13 = 5(9x + 4) + -4 Reorder the terms: 16 + 13 + 32x = 5(9x + 4) + -4 Combine like terms: 16 + 13 = 29 29 + 32x = 5(9x + 4) + -4 Reorder the terms: 29 + 32x = 5(4 + 9x) + -4 29 + 32x = (4 * 5 + 9x * 5) + -4 29 + 32x = (20 + 45x) + -4 Reorder the terms: 29 + 32x = 20 + -4 + 45x Combine like terms: 20 + -4 = 16 29 + 32x = 16 + 45x Solving 29 + 32x = 16 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 29 + 32x + -45x = 16 + 45x + -45x Combine like terms: 32x + -45x = -13x 29 + -13x = 16 + 45x + -45x Combine like terms: 45x + -45x = 0 29 + -13x = 16 + 0 29 + -13x = 16 Add '-29' to each side of the equation. 29 + -29 + -13x = 16 + -29 Combine like terms: 29 + -29 = 0 0 + -13x = 16 + -29 -13x = 16 + -29 Combine like terms: 16 + -29 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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