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Simplifying 4(x + -6) + -27 = 8(x + -3) + -3 Reorder the terms: 4(-6 + x) + -27 = 8(x + -3) + -3 (-6 * 4 + x * 4) + -27 = 8(x + -3) + -3 (-24 + 4x) + -27 = 8(x + -3) + -3 Reorder the terms: -24 + -27 + 4x = 8(x + -3) + -3 Combine like terms: -24 + -27 = -51 -51 + 4x = 8(x + -3) + -3 Reorder the terms: -51 + 4x = 8(-3 + x) + -3 -51 + 4x = (-3 * 8 + x * 8) + -3 -51 + 4x = (-24 + 8x) + -3 Reorder the terms: -51 + 4x = -24 + -3 + 8x Combine like terms: -24 + -3 = -27 -51 + 4x = -27 + 8x Solving -51 + 4x = -27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -51 + 4x + -8x = -27 + 8x + -8x Combine like terms: 4x + -8x = -4x -51 + -4x = -27 + 8x + -8x Combine like terms: 8x + -8x = 0 -51 + -4x = -27 + 0 -51 + -4x = -27 Add '51' to each side of the equation. -51 + 51 + -4x = -27 + 51 Combine like terms: -51 + 51 = 0 0 + -4x = -27 + 51 -4x = -27 + 51 Combine like terms: -27 + 51 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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