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Simplifying 4 + 8(x + -7) = 11 + -2(x + -4) Reorder the terms: 4 + 8(-7 + x) = 11 + -2(x + -4) 4 + (-7 * 8 + x * 8) = 11 + -2(x + -4) 4 + (-56 + 8x) = 11 + -2(x + -4) Combine like terms: 4 + -56 = -52 -52 + 8x = 11 + -2(x + -4) Reorder the terms: -52 + 8x = 11 + -2(-4 + x) -52 + 8x = 11 + (-4 * -2 + x * -2) -52 + 8x = 11 + (8 + -2x) Combine like terms: 11 + 8 = 19 -52 + 8x = 19 + -2x Solving -52 + 8x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -52 + 8x + 2x = 19 + -2x + 2x Combine like terms: 8x + 2x = 10x -52 + 10x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -52 + 10x = 19 + 0 -52 + 10x = 19 Add '52' to each side of the equation. -52 + 52 + 10x = 19 + 52 Combine like terms: -52 + 52 = 0 0 + 10x = 19 + 52 10x = 19 + 52 Combine like terms: 19 + 52 = 71 10x = 71 Divide each side by '10'. x = 7.1 Simplifying x = 7.1
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