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Simplifying 8(4x + -6) = 11 + -1(x + 7) Reorder the terms: 8(-6 + 4x) = 11 + -1(x + 7) (-6 * 8 + 4x * 8) = 11 + -1(x + 7) (-48 + 32x) = 11 + -1(x + 7) Reorder the terms: -48 + 32x = 11 + -1(7 + x) -48 + 32x = 11 + (7 * -1 + x * -1) -48 + 32x = 11 + (-7 + -1x) Combine like terms: 11 + -7 = 4 -48 + 32x = 4 + -1x Solving -48 + 32x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -48 + 32x + x = 4 + -1x + x Combine like terms: 32x + x = 33x -48 + 33x = 4 + -1x + x Combine like terms: -1x + x = 0 -48 + 33x = 4 + 0 -48 + 33x = 4 Add '48' to each side of the equation. -48 + 48 + 33x = 4 + 48 Combine like terms: -48 + 48 = 0 0 + 33x = 4 + 48 33x = 4 + 48 Combine like terms: 4 + 48 = 52 33x = 52 Divide each side by '33'. x = 1.575757576 Simplifying x = 1.575757576
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