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Simplifying 8(x + -6) = 3(3x + -1) Reorder the terms: 8(-6 + x) = 3(3x + -1) (-6 * 8 + x * 8) = 3(3x + -1) (-48 + 8x) = 3(3x + -1) Reorder the terms: -48 + 8x = 3(-1 + 3x) -48 + 8x = (-1 * 3 + 3x * 3) -48 + 8x = (-3 + 9x) Solving -48 + 8x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -48 + 8x + -9x = -3 + 9x + -9x Combine like terms: 8x + -9x = -1x -48 + -1x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -48 + -1x = -3 + 0 -48 + -1x = -3 Add '48' to each side of the equation. -48 + 48 + -1x = -3 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -3 + 48 -1x = -3 + 48 Combine like terms: -3 + 48 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45
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