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Simplifying 8(x + -6) = -3(x + 3) Reorder the terms: 8(-6 + x) = -3(x + 3) (-6 * 8 + x * 8) = -3(x + 3) (-48 + 8x) = -3(x + 3) Reorder the terms: -48 + 8x = -3(3 + x) -48 + 8x = (3 * -3 + x * -3) -48 + 8x = (-9 + -3x) Solving -48 + 8x = -9 + -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 = -9 + -3x + 3x Combine like terms: 8x + 3x = 11x -48 + 11x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -48 + 11x = -9 + 0 -48 + 11x = -9 Add '48' to each side of the equation. -48 + 48 + 11x = -9 + 48 Combine like terms: -48 + 48 = 0 0 + 11x = -9 + 48 11x = -9 + 48 Combine like terms: -9 + 48 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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