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Simplifying 3(x + -4) + 15 = 35 + -5(2 + -5x) Reorder the terms: 3(-4 + x) + 15 = 35 + -5(2 + -5x) (-4 * 3 + x * 3) + 15 = 35 + -5(2 + -5x) (-12 + 3x) + 15 = 35 + -5(2 + -5x) Reorder the terms: -12 + 15 + 3x = 35 + -5(2 + -5x) Combine like terms: -12 + 15 = 3 3 + 3x = 35 + -5(2 + -5x) 3 + 3x = 35 + (2 * -5 + -5x * -5) 3 + 3x = 35 + (-10 + 25x) Combine like terms: 35 + -10 = 25 3 + 3x = 25 + 25x Solving 3 + 3x = 25 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 3 + 3x + -25x = 25 + 25x + -25x Combine like terms: 3x + -25x = -22x 3 + -22x = 25 + 25x + -25x Combine like terms: 25x + -25x = 0 3 + -22x = 25 + 0 3 + -22x = 25 Add '-3' to each side of the equation. 3 + -3 + -22x = 25 + -3 Combine like terms: 3 + -3 = 0 0 + -22x = 25 + -3 -22x = 25 + -3 Combine like terms: 25 + -3 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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