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Simplifying 3[3x + -15] = 4[x + 10] Reorder the terms: 3[-15 + 3x] = 4[x + 10] [-15 * 3 + 3x * 3] = 4[x + 10] [-45 + 9x] = 4[x + 10] Reorder the terms: -45 + 9x = 4[10 + x] -45 + 9x = [10 * 4 + x * 4] -45 + 9x = [40 + 4x] Solving -45 + 9x = 40 + 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. -45 + 9x + -4x = 40 + 4x + -4x Combine like terms: 9x + -4x = 5x -45 + 5x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 5x = 40 + 0 -45 + 5x = 40 Add '45' to each side of the equation. -45 + 45 + 5x = 40 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 40 + 45 5x = 40 + 45 Combine like terms: 40 + 45 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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