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Simplifying 3[2 + 5(3 + -1x) + 2x] = 4 + -2x 3[2 + (3 * 5 + -1x * 5) + 2x] = 4 + -2x 3[2 + (15 + -5x) + 2x] = 4 + -2x Combine like terms: 2 + 15 = 17 3[17 + -5x + 2x] = 4 + -2x Combine like terms: -5x + 2x = -3x 3[17 + -3x] = 4 + -2x [17 * 3 + -3x * 3] = 4 + -2x [51 + -9x] = 4 + -2x Solving 51 + -9x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 51 + -9x + 2x = 4 + -2x + 2x Combine like terms: -9x + 2x = -7x 51 + -7x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 51 + -7x = 4 + 0 51 + -7x = 4 Add '-51' to each side of the equation. 51 + -51 + -7x = 4 + -51 Combine like terms: 51 + -51 = 0 0 + -7x = 4 + -51 -7x = 4 + -51 Combine like terms: 4 + -51 = -47 -7x = -47 Divide each side by '-7'. x = 6.714285714 Simplifying x = 6.714285714
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