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Simplifying 7x + -3(2x + -3) = 4(2x + 8) Reorder the terms: 7x + -3(-3 + 2x) = 4(2x + 8) 7x + (-3 * -3 + 2x * -3) = 4(2x + 8) 7x + (9 + -6x) = 4(2x + 8) Reorder the terms: 9 + 7x + -6x = 4(2x + 8) Combine like terms: 7x + -6x = 1x 9 + 1x = 4(2x + 8) Reorder the terms: 9 + 1x = 4(8 + 2x) 9 + 1x = (8 * 4 + 2x * 4) 9 + 1x = (32 + 8x) Solving 9 + 1x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 1x + -8x = 32 + 8x + -8x Combine like terms: 1x + -8x = -7x 9 + -7x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -7x = 32 + 0 9 + -7x = 32 Add '-9' to each side of the equation. 9 + -9 + -7x = 32 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 32 + -9 -7x = 32 + -9 Combine like terms: 32 + -9 = 23 -7x = 23 Divide each side by '-7'. x = -3.285714286 Simplifying x = -3.285714286
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