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Simplifying 4[4(3x + -9) + -3(4x + -4)] = 5x + -146 Reorder the terms: 4[4(-9 + 3x) + -3(4x + -4)] = 5x + -146 4[(-9 * 4 + 3x * 4) + -3(4x + -4)] = 5x + -146 4[(-36 + 12x) + -3(4x + -4)] = 5x + -146 Reorder the terms: 4[-36 + 12x + -3(-4 + 4x)] = 5x + -146 4[-36 + 12x + (-4 * -3 + 4x * -3)] = 5x + -146 4[-36 + 12x + (12 + -12x)] = 5x + -146 Reorder the terms: 4[-36 + 12 + 12x + -12x] = 5x + -146 Combine like terms: -36 + 12 = -24 4[-24 + 12x + -12x] = 5x + -146 Combine like terms: 12x + -12x = 0 4[-24 + 0] = 5x + -146 4[-24] = 5x + -146 Multiply 4 * -24 -96 = 5x + -146 Reorder the terms: -96 = -146 + 5x Solving -96 = -146 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -96 + -5x = -146 + 5x + -5x Combine like terms: 5x + -5x = 0 -96 + -5x = -146 + 0 -96 + -5x = -146 Add '96' to each side of the equation. -96 + 96 + -5x = -146 + 96 Combine like terms: -96 + 96 = 0 0 + -5x = -146 + 96 -5x = -146 + 96 Combine like terms: -146 + 96 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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