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Simplifying 5[x + -11] = 3[x + 29] Reorder the terms: 5[-11 + x] = 3[x + 29] [-11 * 5 + x * 5] = 3[x + 29] [-55 + 5x] = 3[x + 29] Reorder the terms: -55 + 5x = 3[29 + x] -55 + 5x = [29 * 3 + x * 3] -55 + 5x = [87 + 3x] Solving -55 + 5x = 87 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -55 + 5x + -3x = 87 + 3x + -3x Combine like terms: 5x + -3x = 2x -55 + 2x = 87 + 3x + -3x Combine like terms: 3x + -3x = 0 -55 + 2x = 87 + 0 -55 + 2x = 87 Add '55' to each side of the equation. -55 + 55 + 2x = 87 + 55 Combine like terms: -55 + 55 = 0 0 + 2x = 87 + 55 2x = 87 + 55 Combine like terms: 87 + 55 = 142 2x = 142 Divide each side by '2'. x = 71 Simplifying x = 71
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