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Simplifying 4[x + 2(x + -1)] + -5 = 35 Reorder the terms: 4[x + 2(-1 + x)] + -5 = 35 4[x + (-1 * 2 + x * 2)] + -5 = 35 4[x + (-2 + 2x)] + -5 = 35 Reorder the terms: 4[-2 + x + 2x] + -5 = 35 Combine like terms: x + 2x = 3x 4[-2 + 3x] + -5 = 35 [-2 * 4 + 3x * 4] + -5 = 35 [-8 + 12x] + -5 = 35 Reorder the terms: -8 + -5 + 12x = 35 Combine like terms: -8 + -5 = -13 -13 + 12x = 35 Solving -13 + 12x = 35 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 + 12x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 35 + 13 12x = 35 + 13 Combine like terms: 35 + 13 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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