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Simplifying 7x + -3(5x + -3) = 2 + -4(x + -3) Reorder the terms: 7x + -3(-3 + 5x) = 2 + -4(x + -3) 7x + (-3 * -3 + 5x * -3) = 2 + -4(x + -3) 7x + (9 + -15x) = 2 + -4(x + -3) Reorder the terms: 9 + 7x + -15x = 2 + -4(x + -3) Combine like terms: 7x + -15x = -8x 9 + -8x = 2 + -4(x + -3) Reorder the terms: 9 + -8x = 2 + -4(-3 + x) 9 + -8x = 2 + (-3 * -4 + x * -4) 9 + -8x = 2 + (12 + -4x) Combine like terms: 2 + 12 = 14 9 + -8x = 14 + -4x Solving 9 + -8x = 14 + -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. 9 + -8x + 4x = 14 + -4x + 4x Combine like terms: -8x + 4x = -4x 9 + -4x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + -4x = 14 + 0 9 + -4x = 14 Add '-9' to each side of the equation. 9 + -9 + -4x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 14 + -9 -4x = 14 + -9 Combine like terms: 14 + -9 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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