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Simplifying 5 + 3(x + -7) = 11 + -8(x + -5) Reorder the terms: 5 + 3(-7 + x) = 11 + -8(x + -5) 5 + (-7 * 3 + x * 3) = 11 + -8(x + -5) 5 + (-21 + 3x) = 11 + -8(x + -5) Combine like terms: 5 + -21 = -16 -16 + 3x = 11 + -8(x + -5) Reorder the terms: -16 + 3x = 11 + -8(-5 + x) -16 + 3x = 11 + (-5 * -8 + x * -8) -16 + 3x = 11 + (40 + -8x) Combine like terms: 11 + 40 = 51 -16 + 3x = 51 + -8x Solving -16 + 3x = 51 + -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. -16 + 3x + 8x = 51 + -8x + 8x Combine like terms: 3x + 8x = 11x -16 + 11x = 51 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 11x = 51 + 0 -16 + 11x = 51 Add '16' to each side of the equation. -16 + 16 + 11x = 51 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 51 + 16 11x = 51 + 16 Combine like terms: 51 + 16 = 67 11x = 67 Divide each side by '11'. x = 6.090909091 Simplifying x = 6.090909091
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