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Simplifying 4(x + -9) + -12 = -8(x + 6) + 12 Reorder the terms: 4(-9 + x) + -12 = -8(x + 6) + 12 (-9 * 4 + x * 4) + -12 = -8(x + 6) + 12 (-36 + 4x) + -12 = -8(x + 6) + 12 Reorder the terms: -36 + -12 + 4x = -8(x + 6) + 12 Combine like terms: -36 + -12 = -48 -48 + 4x = -8(x + 6) + 12 Reorder the terms: -48 + 4x = -8(6 + x) + 12 -48 + 4x = (6 * -8 + x * -8) + 12 -48 + 4x = (-48 + -8x) + 12 Reorder the terms: -48 + 4x = -48 + 12 + -8x Combine like terms: -48 + 12 = -36 -48 + 4x = -36 + -8x Solving -48 + 4x = -36 + -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. -48 + 4x + 8x = -36 + -8x + 8x Combine like terms: 4x + 8x = 12x -48 + 12x = -36 + -8x + 8x Combine like terms: -8x + 8x = 0 -48 + 12x = -36 + 0 -48 + 12x = -36 Add '48' to each side of the equation. -48 + 48 + 12x = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 12x = -36 + 48 12x = -36 + 48 Combine like terms: -36 + 48 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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