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Simplifying 3[3 + -3(x + 1)] + 1 = 2(-29 + -1x) + 2x + 29 Reorder the terms: 3[3 + -3(1 + x)] + 1 = 2(-29 + -1x) + 2x + 29 3[3 + (1 * -3 + x * -3)] + 1 = 2(-29 + -1x) + 2x + 29 3[3 + (-3 + -3x)] + 1 = 2(-29 + -1x) + 2x + 29 Combine like terms: 3 + -3 = 0 3[0 + -3x] + 1 = 2(-29 + -1x) + 2x + 29 3[-3x] + 1 = 2(-29 + -1x) + 2x + 29 Remove brackets around [-3x] 3 * -3x + 1 = 2(-29 + -1x) + 2x + 29 Multiply 3 * -3 -9x + 1 = 2(-29 + -1x) + 2x + 29 Reorder the terms: 1 + -9x = 2(-29 + -1x) + 2x + 29 1 + -9x = (-29 * 2 + -1x * 2) + 2x + 29 1 + -9x = (-58 + -2x) + 2x + 29 Reorder the terms: 1 + -9x = -58 + 29 + -2x + 2x Combine like terms: -58 + 29 = -29 1 + -9x = -29 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -9x = -29 + 0 1 + -9x = -29 Solving 1 + -9x = -29 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 + -9x = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -29 + -1 -9x = -29 + -1 Combine like terms: -29 + -1 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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