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Simplifying 2[3 + -3(x + 1)] + 1 = 2(-25 + -1x) + 2x + 25 Reorder the terms: 2[3 + -3(1 + x)] + 1 = 2(-25 + -1x) + 2x + 25 2[3 + (1 * -3 + x * -3)] + 1 = 2(-25 + -1x) + 2x + 25 2[3 + (-3 + -3x)] + 1 = 2(-25 + -1x) + 2x + 25 Combine like terms: 3 + -3 = 0 2[0 + -3x] + 1 = 2(-25 + -1x) + 2x + 25 2[-3x] + 1 = 2(-25 + -1x) + 2x + 25 Remove brackets around [-3x] 2 * -3x + 1 = 2(-25 + -1x) + 2x + 25 Multiply 2 * -3 -6x + 1 = 2(-25 + -1x) + 2x + 25 Reorder the terms: 1 + -6x = 2(-25 + -1x) + 2x + 25 1 + -6x = (-25 * 2 + -1x * 2) + 2x + 25 1 + -6x = (-50 + -2x) + 2x + 25 Reorder the terms: 1 + -6x = -50 + 25 + -2x + 2x Combine like terms: -50 + 25 = -25 1 + -6x = -25 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -6x = -25 + 0 1 + -6x = -25 Solving 1 + -6x = -25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = -25 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -25 + -1 -6x = -25 + -1 Combine like terms: -25 + -1 = -26 -6x = -26 Divide each side by '-6'. x = 4.333333333 Simplifying x = 4.333333333
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