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Simplifying 4 + 7(x + -7) = 11 + -8(x + -3) Reorder the terms: 4 + 7(-7 + x) = 11 + -8(x + -3) 4 + (-7 * 7 + x * 7) = 11 + -8(x + -3) 4 + (-49 + 7x) = 11 + -8(x + -3) Combine like terms: 4 + -49 = -45 -45 + 7x = 11 + -8(x + -3) Reorder the terms: -45 + 7x = 11 + -8(-3 + x) -45 + 7x = 11 + (-3 * -8 + x * -8) -45 + 7x = 11 + (24 + -8x) Combine like terms: 11 + 24 = 35 -45 + 7x = 35 + -8x Solving -45 + 7x = 35 + -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. -45 + 7x + 8x = 35 + -8x + 8x Combine like terms: 7x + 8x = 15x -45 + 15x = 35 + -8x + 8x Combine like terms: -8x + 8x = 0 -45 + 15x = 35 + 0 -45 + 15x = 35 Add '45' to each side of the equation. -45 + 45 + 15x = 35 + 45 Combine like terms: -45 + 45 = 0 0 + 15x = 35 + 45 15x = 35 + 45 Combine like terms: 35 + 45 = 80 15x = 80 Divide each side by '15'. x = 5.333333333 Simplifying x = 5.333333333
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