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Simplifying -48 + 9(x4 + -4x) = 6(12 + -1x) + 9x4 Reorder the terms: -48 + 9(-4x + x4) = 6(12 + -1x) + 9x4 -48 + (-4x * 9 + x4 * 9) = 6(12 + -1x) + 9x4 -48 + (-36x + 9x4) = 6(12 + -1x) + 9x4 -48 + -36x + 9x4 = (12 * 6 + -1x * 6) + 9x4 -48 + -36x + 9x4 = (72 + -6x) + 9x4 Add '-9x4' to each side of the equation. -48 + -36x + 9x4 + -9x4 = 72 + -6x + 9x4 + -9x4 Combine like terms: 9x4 + -9x4 = 0 -48 + -36x + 0 = 72 + -6x + 9x4 + -9x4 -48 + -36x = 72 + -6x + 9x4 + -9x4 Combine like terms: 9x4 + -9x4 = 0 -48 + -36x = 72 + -6x + 0 -48 + -36x = 72 + -6x Solving -48 + -36x = 72 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -48 + -36x + 6x = 72 + -6x + 6x Combine like terms: -36x + 6x = -30x -48 + -30x = 72 + -6x + 6x Combine like terms: -6x + 6x = 0 -48 + -30x = 72 + 0 -48 + -30x = 72 Add '48' to each side of the equation. -48 + 48 + -30x = 72 + 48 Combine like terms: -48 + 48 = 0 0 + -30x = 72 + 48 -30x = 72 + 48 Combine like terms: 72 + 48 = 120 -30x = 120 Divide each side by '-30'. x = -4 Simplifying x = -4
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