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Simplifying 5[4x + -3 + 3(x + 1)] = -5x + 5 Reorder the terms: 5[4x + -3 + 3(1 + x)] = -5x + 5 5[4x + -3 + (1 * 3 + x * 3)] = -5x + 5 5[4x + -3 + (3 + 3x)] = -5x + 5 Reorder the terms: 5[-3 + 3 + 4x + 3x] = -5x + 5 Combine like terms: -3 + 3 = 0 5[0 + 4x + 3x] = -5x + 5 5[4x + 3x] = -5x + 5 Combine like terms: 4x + 3x = 7x 5[7x] = -5x + 5 Remove brackets around [7x] 5 * 7x = -5x + 5 Multiply 5 * 7 35x = -5x + 5 Reorder the terms: 35x = 5 + -5x Solving 35x = 5 + -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. 35x + 5x = 5 + -5x + 5x Combine like terms: 35x + 5x = 40x 40x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 40x = 5 + 0 40x = 5 Divide each side by '40'. x = 0.125 Simplifying x = 0.125
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