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Simplifying 4[5 + 2x] + -5 = 3[3x + 7] [5 * 4 + 2x * 4] + -5 = 3[3x + 7] [20 + 8x] + -5 = 3[3x + 7] Reorder the terms: 20 + -5 + 8x = 3[3x + 7] Combine like terms: 20 + -5 = 15 15 + 8x = 3[3x + 7] Reorder the terms: 15 + 8x = 3[7 + 3x] 15 + 8x = [7 * 3 + 3x * 3] 15 + 8x = [21 + 9x] Solving 15 + 8x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 8x + -9x = 21 + 9x + -9x Combine like terms: 8x + -9x = -1x 15 + -1x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -1x = 21 + 0 15 + -1x = 21 Add '-15' to each side of the equation. 15 + -15 + -1x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 21 + -15 -1x = 21 + -15 Combine like terms: 21 + -15 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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