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Simplifying 8 + 8(x + -7) = 7 + -3(x + -4) Reorder the terms: 8 + 8(-7 + x) = 7 + -3(x + -4) 8 + (-7 * 8 + x * 8) = 7 + -3(x + -4) 8 + (-56 + 8x) = 7 + -3(x + -4) Combine like terms: 8 + -56 = -48 -48 + 8x = 7 + -3(x + -4) Reorder the terms: -48 + 8x = 7 + -3(-4 + x) -48 + 8x = 7 + (-4 * -3 + x * -3) -48 + 8x = 7 + (12 + -3x) Combine like terms: 7 + 12 = 19 -48 + 8x = 19 + -3x Solving -48 + 8x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -48 + 8x + 3x = 19 + -3x + 3x Combine like terms: 8x + 3x = 11x -48 + 11x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -48 + 11x = 19 + 0 -48 + 11x = 19 Add '48' to each side of the equation. -48 + 48 + 11x = 19 + 48 Combine like terms: -48 + 48 = 0 0 + 11x = 19 + 48 11x = 19 + 48 Combine like terms: 19 + 48 = 67 11x = 67 Divide each side by '11'. x = 6.090909091 Simplifying x = 6.090909091
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