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Simplifying 3[3 + -3(x + 1)] + 1 = 2(-23 + -1x) + 2x + 23 Reorder the terms: 3[3 + -3(1 + x)] + 1 = 2(-23 + -1x) + 2x + 23 3[3 + (1 * -3 + x * -3)] + 1 = 2(-23 + -1x) + 2x + 23 3[3 + (-3 + -3x)] + 1 = 2(-23 + -1x) + 2x + 23 Combine like terms: 3 + -3 = 0 3[0 + -3x] + 1 = 2(-23 + -1x) + 2x + 23 3[-3x] + 1 = 2(-23 + -1x) + 2x + 23 Remove brackets around [-3x] 3 * -3x + 1 = 2(-23 + -1x) + 2x + 23 Multiply 3 * -3 -9x + 1 = 2(-23 + -1x) + 2x + 23 Reorder the terms: 1 + -9x = 2(-23 + -1x) + 2x + 23 1 + -9x = (-23 * 2 + -1x * 2) + 2x + 23 1 + -9x = (-46 + -2x) + 2x + 23 Reorder the terms: 1 + -9x = -46 + 23 + -2x + 2x Combine like terms: -46 + 23 = -23 1 + -9x = -23 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -9x = -23 + 0 1 + -9x = -23 Solving 1 + -9x = -23 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 = -23 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -23 + -1 -9x = -23 + -1 Combine like terms: -23 + -1 = -24 -9x = -24 Divide each side by '-9'. x = 2.666666667 Simplifying x = 2.666666667
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