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Simplifying 5[x + -3] = 4[x + 2] Reorder the terms: 5[-3 + x] = 4[x + 2] [-3 * 5 + x * 5] = 4[x + 2] [-15 + 5x] = 4[x + 2] Reorder the terms: -15 + 5x = 4[2 + x] -15 + 5x = [2 * 4 + x * 4] -15 + 5x = [8 + 4x] Solving -15 + 5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x -15 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 1x = 8 + 0 -15 + 1x = 8 Add '15' to each side of the equation. -15 + 15 + 1x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 8 + 15 1x = 8 + 15 Combine like terms: 8 + 15 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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