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Simplifying 9(x + -6) + 6 = 9x + -6(6 + -1x) Reorder the terms: 9(-6 + x) + 6 = 9x + -6(6 + -1x) (-6 * 9 + x * 9) + 6 = 9x + -6(6 + -1x) (-54 + 9x) + 6 = 9x + -6(6 + -1x) Reorder the terms: -54 + 6 + 9x = 9x + -6(6 + -1x) Combine like terms: -54 + 6 = -48 -48 + 9x = 9x + -6(6 + -1x) -48 + 9x = 9x + (6 * -6 + -1x * -6) -48 + 9x = 9x + (-36 + 6x) Reorder the terms: -48 + 9x = -36 + 9x + 6x Combine like terms: 9x + 6x = 15x -48 + 9x = -36 + 15x Solving -48 + 9x = -36 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -48 + 9x + -15x = -36 + 15x + -15x Combine like terms: 9x + -15x = -6x -48 + -6x = -36 + 15x + -15x Combine like terms: 15x + -15x = 0 -48 + -6x = -36 + 0 -48 + -6x = -36 Add '48' to each side of the equation. -48 + 48 + -6x = -36 + 48 Combine like terms: -48 + 48 = 0 0 + -6x = -36 + 48 -6x = -36 + 48 Combine like terms: -36 + 48 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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